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Finding the Fourth Proportional to 6,129.49, 8,456.23 and 3,607.60

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Solution

The fourth proportional to 6,129.49, 8,456.23 and 3,607.60 is: 4,977.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.49 : 8,456.23 = 3,607.60 : x
  2. Step 2: Convert to fraction form
    6,129.49/8,456.23 = 3,607.60/x
  3. Step 3: Cross multiply
    6,129.49x = 8,456.23 × 3,607.60
  4. Step 4: Simplify right side
    6,129.49x = 30,506,695.35
  5. Step 5: Solve for x
    x = 30,506,695.35/6,129.49
  6. Step 6: Final answer
    x = 4,977.04

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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.