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Finding the Fourth Proportional to 5,730.27, 8,594.17 and 2,032.62

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Solution

The fourth proportional to 5,730.27, 8,594.17 and 2,032.62 is: 3,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.27 : 8,594.17 = 2,032.62 : x
  2. Step 2: Convert to fraction form
    5,730.27/8,594.17 = 2,032.62/x
  3. Step 3: Cross multiply
    5,730.27x = 8,594.17 × 2,032.62
  4. Step 4: Simplify right side
    5,730.27x = 17,468,681.83
  5. Step 5: Solve for x
    x = 17,468,681.83/5,730.27
  6. Step 6: Final answer
    x = 3,048.49

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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.