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Finding the Fourth Proportional to 5,302.65, 7,302.11 and 4,859.13

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Solution

The fourth proportional to 5,302.65, 7,302.11 and 4,859.13 is: 6,691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.65 : 7,302.11 = 4,859.13 : x
  2. Step 2: Convert to fraction form
    5,302.65/7,302.11 = 4,859.13/x
  3. Step 3: Cross multiply
    5,302.65x = 7,302.11 × 4,859.13
  4. Step 4: Simplify right side
    5,302.65x = 35,481,877.47
  5. Step 5: Solve for x
    x = 35,481,877.47/5,302.65
  6. Step 6: Final answer
    x = 6,691.35

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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.