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Finding the Fourth Proportional to 5,115.01, 7,672.95 and 1,417.24

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Solution

The fourth proportional to 5,115.01, 7,672.95 and 1,417.24 is: 2,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.01 : 7,672.95 = 1,417.24 : x
  2. Step 2: Convert to fraction form
    5,115.01/7,672.95 = 1,417.24/x
  3. Step 3: Cross multiply
    5,115.01x = 7,672.95 × 1,417.24
  4. Step 4: Simplify right side
    5,115.01x = 10,874,411.66
  5. Step 5: Solve for x
    x = 10,874,411.66/5,115.01
  6. Step 6: Final answer
    x = 2,125.98

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