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Finding the Fourth Proportional to 3,604.64, 4,970.21 and 2,542.59

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Solution

The fourth proportional to 3,604.64, 4,970.21 and 2,542.59 is: 3,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.64 : 4,970.21 = 2,542.59 : x
  2. Step 2: Convert to fraction form
    3,604.64/4,970.21 = 2,542.59/x
  3. Step 3: Cross multiply
    3,604.64x = 4,970.21 × 2,542.59
  4. Step 4: Simplify right side
    3,604.64x = 12,637,193.53
  5. Step 5: Solve for x
    x = 12,637,193.53/3,604.64
  6. Step 6: Final answer
    x = 3,505.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.