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Finding the Fourth Proportional to 5,892.30, 8,838.36 and 1,509.66

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Solution

The fourth proportional to 5,892.30, 8,838.36 and 1,509.66 is: 2,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.30 : 8,838.36 = 1,509.66 : x
  2. Step 2: Convert to fraction form
    5,892.30/8,838.36 = 1,509.66/x
  3. Step 3: Cross multiply
    5,892.30x = 8,838.36 × 1,509.66
  4. Step 4: Simplify right side
    5,892.30x = 13,342,918.56
  5. Step 5: Solve for x
    x = 13,342,918.56/5,892.30
  6. Step 6: Final answer
    x = 2,264.47

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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.