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Finding the Fourth Proportional to 5,892.39, 8,838.90 and 1,509.89

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Solution

The fourth proportional to 5,892.39, 8,838.90 and 1,509.89 is: 2,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.39 : 8,838.90 = 1,509.89 : x
  2. Step 2: Convert to fraction form
    5,892.39/8,838.90 = 1,509.89/x
  3. Step 3: Cross multiply
    5,892.39x = 8,838.90 × 1,509.89
  4. Step 4: Simplify right side
    5,892.39x = 13,345,722.53
  5. Step 5: Solve for x
    x = 13,345,722.53/5,892.39
  6. Step 6: Final answer
    x = 2,264.91

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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.