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Finding the Fourth Proportional to 3,542.03, 5,312.91 and 944.95

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Solution

The fourth proportional to 3,542.03, 5,312.91 and 944.95 is: 1,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.03 : 5,312.91 = 944.95 : x
  2. Step 2: Convert to fraction form
    3,542.03/5,312.91 = 944.95/x
  3. Step 3: Cross multiply
    3,542.03x = 5,312.91 × 944.95
  4. Step 4: Simplify right side
    3,542.03x = 5,020,407.74
  5. Step 5: Solve for x
    x = 5,020,407.74/3,542.03
  6. Step 6: Final answer
    x = 1,417.38

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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.