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Finding the Fourth Proportional to 5,597.84, 8,397.72 and 2,309.14

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Solution

The fourth proportional to 5,597.84, 8,397.72 and 2,309.14 is: 3,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.84 : 8,397.72 = 2,309.14 : x
  2. Step 2: Convert to fraction form
    5,597.84/8,397.72 = 2,309.14/x
  3. Step 3: Cross multiply
    5,597.84x = 8,397.72 × 2,309.14
  4. Step 4: Simplify right side
    5,597.84x = 19,391,490.17
  5. Step 5: Solve for x
    x = 19,391,490.17/5,597.84
  6. Step 6: Final answer
    x = 3,464.10

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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.