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Finding the Fourth Proportional to 3,137.60, 4,697.16 and 2,038.88

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Solution

The fourth proportional to 3,137.60, 4,697.16 and 2,038.88 is: 3,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.60 : 4,697.16 = 2,038.88 : x
  2. Step 2: Convert to fraction form
    3,137.60/4,697.16 = 2,038.88/x
  3. Step 3: Cross multiply
    3,137.60x = 4,697.16 × 2,038.88
  4. Step 4: Simplify right side
    3,137.60x = 9,576,945.58
  5. Step 5: Solve for x
    x = 9,576,945.58/3,137.60
  6. Step 6: Final answer
    x = 3,052.32

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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.