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Finding the Fourth Proportional to 3,542.34, 5,314.47 and 3,155.00

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Solution

The fourth proportional to 3,542.34, 5,314.47 and 3,155.00 is: 4,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.34 : 5,314.47 = 3,155.00 : x
  2. Step 2: Convert to fraction form
    3,542.34/5,314.47 = 3,155.00/x
  3. Step 3: Cross multiply
    3,542.34x = 5,314.47 × 3,155.00
  4. Step 4: Simplify right side
    3,542.34x = 16,767,114.45
  5. Step 5: Solve for x
    x = 16,767,114.45/3,542.34
  6. Step 6: Final answer
    x = 4,733.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.