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Finding the Fourth Proportional to 5,601.40, 8,405.18 and 4,719.76

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Solution

The fourth proportional to 5,601.40, 8,405.18 and 4,719.76 is: 7,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.40 : 8,405.18 = 4,719.76 : x
  2. Step 2: Convert to fraction form
    5,601.40/8,405.18 = 4,719.76/x
  3. Step 3: Cross multiply
    5,601.40x = 8,405.18 × 4,719.76
  4. Step 4: Simplify right side
    5,601.40x = 39,670,432.36
  5. Step 5: Solve for x
    x = 39,670,432.36/5,601.40
  6. Step 6: Final answer
    x = 7,082.24

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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.