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Finding the Fourth Proportional to 5,640.48, 7,778.16 and 4,347.72

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Solution

The fourth proportional to 5,640.48, 7,778.16 and 4,347.72 is: 5,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.48 : 7,778.16 = 4,347.72 : x
  2. Step 2: Convert to fraction form
    5,640.48/7,778.16 = 4,347.72/x
  3. Step 3: Cross multiply
    5,640.48x = 7,778.16 × 4,347.72
  4. Step 4: Simplify right side
    5,640.48x = 33,817,261.80
  5. Step 5: Solve for x
    x = 33,817,261.80/5,640.48
  6. Step 6: Final answer
    x = 5,995.46

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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.