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Finding the Fourth Proportional to 5,630.16, 7,768.80 and 3,534.96

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Solution

The fourth proportional to 5,630.16, 7,768.80 and 3,534.96 is: 4,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.16 : 7,768.80 = 3,534.96 : x
  2. Step 2: Convert to fraction form
    5,630.16/7,768.80 = 3,534.96/x
  3. Step 3: Cross multiply
    5,630.16x = 7,768.80 × 3,534.96
  4. Step 4: Simplify right side
    5,630.16x = 27,462,397.25
  5. Step 5: Solve for x
    x = 27,462,397.25/5,630.16
  6. Step 6: Final answer
    x = 4,877.73

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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.