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Finding the Fourth Proportional to 5,470.56, 7,540.56 and 3,701.52

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Solution

The fourth proportional to 5,470.56, 7,540.56 and 3,701.52 is: 5,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.56 : 7,540.56 = 3,701.52 : x
  2. Step 2: Convert to fraction form
    5,470.56/7,540.56 = 3,701.52/x
  3. Step 3: Cross multiply
    5,470.56x = 7,540.56 × 3,701.52
  4. Step 4: Simplify right side
    5,470.56x = 27,911,533.65
  5. Step 5: Solve for x
    x = 27,911,533.65/5,470.56
  6. Step 6: Final answer
    x = 5,102.13

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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.