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Finding the Fourth Proportional to 3,147.60, 4,720.04 and 1,415.02

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Solution

The fourth proportional to 3,147.60, 4,720.04 and 1,415.02 is: 2,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.60 : 4,720.04 = 1,415.02 : x
  2. Step 2: Convert to fraction form
    3,147.60/4,720.04 = 1,415.02/x
  3. Step 3: Cross multiply
    3,147.60x = 4,720.04 × 1,415.02
  4. Step 4: Simplify right side
    3,147.60x = 6,678,951.00
  5. Step 5: Solve for x
    x = 6,678,951.00/3,147.60
  6. Step 6: Final answer
    x = 2,121.92

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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.