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Finding the Fourth Proportional to 5,838.78, 8,758.18 and 1,456.23

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Solution

The fourth proportional to 5,838.78, 8,758.18 and 1,456.23 is: 2,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.78 : 8,758.18 = 1,456.23 : x
  2. Step 2: Convert to fraction form
    5,838.78/8,758.18 = 1,456.23/x
  3. Step 3: Cross multiply
    5,838.78x = 8,758.18 × 1,456.23
  4. Step 4: Simplify right side
    5,838.78x = 12,753,901.67
  5. Step 5: Solve for x
    x = 12,753,901.67/5,838.78
  6. Step 6: Final answer
    x = 2,184.34

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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.