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Finding the Fourth Proportional to 5,644.48, 7,790.13 and 3,407.62

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Solution

The fourth proportional to 5,644.48, 7,790.13 and 3,407.62 is: 4,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.48 : 7,790.13 = 3,407.62 : x
  2. Step 2: Convert to fraction form
    5,644.48/7,790.13 = 3,407.62/x
  3. Step 3: Cross multiply
    5,644.48x = 7,790.13 × 3,407.62
  4. Step 4: Simplify right side
    5,644.48x = 26,545,802.79
  5. Step 5: Solve for x
    x = 26,545,802.79/5,644.48
  6. Step 6: Final answer
    x = 4,702.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.