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Finding the Fourth Proportional to 4,474.59, 6,711.92 and 1,188.01

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Solution

The fourth proportional to 4,474.59, 6,711.92 and 1,188.01 is: 1,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.59 : 6,711.92 = 1,188.01 : x
  2. Step 2: Convert to fraction form
    4,474.59/6,711.92 = 1,188.01/x
  3. Step 3: Cross multiply
    4,474.59x = 6,711.92 × 1,188.01
  4. Step 4: Simplify right side
    4,474.59x = 7,973,828.08
  5. Step 5: Solve for x
    x = 7,973,828.08/4,474.59
  6. Step 6: Final answer
    x = 1,782.02

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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.