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Finding the Fourth Proportional to 3,119.52, 4,677.54 and 1,038.96

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Solution

The fourth proportional to 3,119.52, 4,677.54 and 1,038.96 is: 1,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.52 : 4,677.54 = 1,038.96 : x
  2. Step 2: Convert to fraction form
    3,119.52/4,677.54 = 1,038.96/x
  3. Step 3: Cross multiply
    3,119.52x = 4,677.54 × 1,038.96
  4. Step 4: Simplify right side
    3,119.52x = 4,859,776.96
  5. Step 5: Solve for x
    x = 4,859,776.96/3,119.52
  6. Step 6: Final answer
    x = 1,557.86

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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.