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Finding the Fourth Proportional to 5,298.13, 7,285.49 and 4,598.29

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Solution

The fourth proportional to 5,298.13, 7,285.49 and 4,598.29 is: 6,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.13 : 7,285.49 = 4,598.29 : x
  2. Step 2: Convert to fraction form
    5,298.13/7,285.49 = 4,598.29/x
  3. Step 3: Cross multiply
    5,298.13x = 7,285.49 × 4,598.29
  4. Step 4: Simplify right side
    5,298.13x = 33,500,759.38
  5. Step 5: Solve for x
    x = 33,500,759.38/5,298.13
  6. Step 6: Final answer
    x = 6,323.13

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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.