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Finding the Fourth Proportional to 5,663.55, 8,538.75 and 5,282.40

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Solution

The fourth proportional to 5,663.55, 8,538.75 and 5,282.40 is: 7,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.55 : 8,538.75 = 5,282.40 : x
  2. Step 2: Convert to fraction form
    5,663.55/8,538.75 = 5,282.40/x
  3. Step 3: Cross multiply
    5,663.55x = 8,538.75 × 5,282.40
  4. Step 4: Simplify right side
    5,663.55x = 45,105,093
  5. Step 5: Solve for x
    x = 45,105,093/5,663.55
  6. Step 6: Final answer
    x = 7,964.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.