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Finding the Fourth Proportional to 5,648.65, 7,794.50 and 3,130.13

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Solution

The fourth proportional to 5,648.65, 7,794.50 and 3,130.13 is: 4,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.65 : 7,794.50 = 3,130.13 : x
  2. Step 2: Convert to fraction form
    5,648.65/7,794.50 = 3,130.13/x
  3. Step 3: Cross multiply
    5,648.65x = 7,794.50 × 3,130.13
  4. Step 4: Simplify right side
    5,648.65x = 24,397,743.66
  5. Step 5: Solve for x
    x = 24,397,743.66/5,648.65
  6. Step 6: Final answer
    x = 4,319.22

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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.