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Finding the Fourth Proportional to 5,663.45, 7,815.40 and 3,145.50

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Solution

The fourth proportional to 5,663.45, 7,815.40 and 3,145.50 is: 4,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.45 : 7,815.40 = 3,145.50 : x
  2. Step 2: Convert to fraction form
    5,663.45/7,815.40 = 3,145.50/x
  3. Step 3: Cross multiply
    5,663.45x = 7,815.40 × 3,145.50
  4. Step 4: Simplify right side
    5,663.45x = 24,583,350.53
  5. Step 5: Solve for x
    x = 24,583,350.53/5,663.45
  6. Step 6: Final answer
    x = 4,340.70

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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.