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Finding the Fourth Proportional to 3,633.60, 4,962.42 and 3,594.72

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Solution

The fourth proportional to 3,633.60, 4,962.42 and 3,594.72 is: 4,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.60 : 4,962.42 = 3,594.72 : x
  2. Step 2: Convert to fraction form
    3,633.60/4,962.42 = 3,594.72/x
  3. Step 3: Cross multiply
    3,633.60x = 4,962.42 × 3,594.72
  4. Step 4: Simplify right side
    3,633.60x = 17,838,510.42
  5. Step 5: Solve for x
    x = 17,838,510.42/3,633.60
  6. Step 6: Final answer
    x = 4,909.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.