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Finding the Fourth Proportional to 3,604,642.56, 4,975,648.56 and 2,077,358.40

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Solution

The fourth proportional to 3,604,642.56, 4,975,648.56 and 2,077,358.40 is: 2,867,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604,642.56 : 4,975,648.56 = 2,077,358.40 : x
  2. Step 2: Convert to fraction form
    3,604,642.56/4,975,648.56 = 2,077,358.40/x
  3. Step 3: Cross multiply
    3,604,642.56x = 4,975,648.56 × 2,077,358.40
  4. Step 4: Simplify right side
    3,604,642.56x = 10,336,205,331,563.90
  5. Step 5: Solve for x
    x = 10,336,205,331,563.90/3,604,642.56
  6. Step 6: Final answer
    x = 2,867,470.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.