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Finding the Fourth Proportional to 5,892.54, 8,123.13 and 4,210.98

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Solution

The fourth proportional to 5,892.54, 8,123.13 and 4,210.98 is: 5,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.54 : 8,123.13 = 4,210.98 : x
  2. Step 2: Convert to fraction form
    5,892.54/8,123.13 = 4,210.98/x
  3. Step 3: Cross multiply
    5,892.54x = 8,123.13 × 4,210.98
  4. Step 4: Simplify right side
    5,892.54x = 34,206,337.97
  5. Step 5: Solve for x
    x = 34,206,337.97/5,892.54
  6. Step 6: Final answer
    x = 5,805.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.