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Finding the Fourth Proportional to 3,671.36, 5,475.64 and 3,541.76

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Solution

The fourth proportional to 3,671.36, 5,475.64 and 3,541.76 is: 5,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.36 : 5,475.64 = 3,541.76 : x
  2. Step 2: Convert to fraction form
    3,671.36/5,475.64 = 3,541.76/x
  3. Step 3: Cross multiply
    3,671.36x = 5,475.64 × 3,541.76
  4. Step 4: Simplify right side
    3,671.36x = 19,393,402.73
  5. Step 5: Solve for x
    x = 19,393,402.73/3,671.36
  6. Step 6: Final answer
    x = 5,282.35

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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.