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Finding the Fourth Proportional to 5,439.93, 7,506.95 and 3,201.30

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Solution

The fourth proportional to 5,439.93, 7,506.95 and 3,201.30 is: 4,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439.93 : 7,506.95 = 3,201.30 : x
  2. Step 2: Convert to fraction form
    5,439.93/7,506.95 = 3,201.30/x
  3. Step 3: Cross multiply
    5,439.93x = 7,506.95 × 3,201.30
  4. Step 4: Simplify right side
    5,439.93x = 24,031,999.04
  5. Step 5: Solve for x
    x = 24,031,999.04/5,439.93
  6. Step 6: Final answer
    x = 4,417.70

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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.