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Finding the Fourth Proportional to 5,123.64, 7,697.76 and 3,278.36

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Solution

The fourth proportional to 5,123.64, 7,697.76 and 3,278.36 is: 4,925.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.64 : 7,697.76 = 3,278.36 : x
  2. Step 2: Convert to fraction form
    5,123.64/7,697.76 = 3,278.36/x
  3. Step 3: Cross multiply
    5,123.64x = 7,697.76 × 3,278.36
  4. Step 4: Simplify right side
    5,123.64x = 25,235,989.98
  5. Step 5: Solve for x
    x = 25,235,989.98/5,123.64
  6. Step 6: Final answer
    x = 4,925.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.