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Finding the Fourth Proportional to 5,760.96, 8,641.95 and 2,473.29

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Solution

The fourth proportional to 5,760.96, 8,641.95 and 2,473.29 is: 3,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.96 : 8,641.95 = 2,473.29 : x
  2. Step 2: Convert to fraction form
    5,760.96/8,641.95 = 2,473.29/x
  3. Step 3: Cross multiply
    5,760.96x = 8,641.95 × 2,473.29
  4. Step 4: Simplify right side
    5,760.96x = 21,374,048.52
  5. Step 5: Solve for x
    x = 21,374,048.52/5,760.96
  6. Step 6: Final answer
    x = 3,710.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.