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Finding the Fourth Proportional to 3,153.52, 4,697.42 and 3,003.76

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Solution

The fourth proportional to 3,153.52, 4,697.42 and 3,003.76 is: 4,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.52 : 4,697.42 = 3,003.76 : x
  2. Step 2: Convert to fraction form
    3,153.52/4,697.42 = 3,003.76/x
  3. Step 3: Cross multiply
    3,153.52x = 4,697.42 × 3,003.76
  4. Step 4: Simplify right side
    3,153.52x = 14,109,922.30
  5. Step 5: Solve for x
    x = 14,109,922.30/3,153.52
  6. Step 6: Final answer
    x = 4,474.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.