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Finding the Fourth Proportional to 3,646.08, 5,011.20 and 3,542.40

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Solution

The fourth proportional to 3,646.08, 5,011.20 and 3,542.40 is: 4,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.08 : 5,011.20 = 3,542.40 : x
  2. Step 2: Convert to fraction form
    3,646.08/5,011.20 = 3,542.40/x
  3. Step 3: Cross multiply
    3,646.08x = 5,011.20 × 3,542.40
  4. Step 4: Simplify right side
    3,646.08x = 17,751,674.88
  5. Step 5: Solve for x
    x = 17,751,674.88/3,646.08
  6. Step 6: Final answer
    x = 4,868.70

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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.