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Finding the Fourth Proportional to 5,209.48, 7,805.49 and 5,007.16

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Solution

The fourth proportional to 5,209.48, 7,805.49 and 5,007.16 is: 7,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.48 : 7,805.49 = 5,007.16 : x
  2. Step 2: Convert to fraction form
    5,209.48/7,805.49 = 5,007.16/x
  3. Step 3: Cross multiply
    5,209.48x = 7,805.49 × 5,007.16
  4. Step 4: Simplify right side
    5,209.48x = 39,083,337.31
  5. Step 5: Solve for x
    x = 39,083,337.31/5,209.48
  6. Step 6: Final answer
    x = 7,502.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.