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Finding the Fourth Proportional to 5,598.14, 8,397 and 2,308.77

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Solution

The fourth proportional to 5,598.14, 8,397 and 2,308.77 is: 3,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.14 : 8,397 = 2,308.77 : x
  2. Step 2: Convert to fraction form
    5,598.14/8,397 = 2,308.77/x
  3. Step 3: Cross multiply
    5,598.14x = 8,397 × 2,308.77
  4. Step 4: Simplify right side
    5,598.14x = 19,386,741.69
  5. Step 5: Solve for x
    x = 19,386,741.69/5,598.14
  6. Step 6: Final answer
    x = 3,463.07

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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.