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Finding the Fourth Proportional to 3,833.70, 5,289.12 and 2,508.16

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Solution

The fourth proportional to 3,833.70, 5,289.12 and 2,508.16 is: 3,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.70 : 5,289.12 = 2,508.16 : x
  2. Step 2: Convert to fraction form
    3,833.70/5,289.12 = 2,508.16/x
  3. Step 3: Cross multiply
    3,833.70x = 5,289.12 × 2,508.16
  4. Step 4: Simplify right side
    3,833.70x = 13,265,959.22
  5. Step 5: Solve for x
    x = 13,265,959.22/3,833.70
  6. Step 6: Final answer
    x = 3,460.35

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1.5x scale

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.