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Finding the Fourth Proportional to 6,598.40, 9,892.13 and 3,476.66

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Solution

The fourth proportional to 6,598.40, 9,892.13 and 3,476.66 is: 5,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.40 : 9,892.13 = 3,476.66 : x
  2. Step 2: Convert to fraction form
    6,598.40/9,892.13 = 3,476.66/x
  3. Step 3: Cross multiply
    6,598.40x = 9,892.13 × 3,476.66
  4. Step 4: Simplify right side
    6,598.40x = 34,391,505.84
  5. Step 5: Solve for x
    x = 34,391,505.84/6,598.40
  6. Step 6: Final answer
    x = 5,212.10

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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.