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Finding the Fourth Proportional to 5,486.64, 7,572.40 and 3,129.44

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Solution

The fourth proportional to 5,486.64, 7,572.40 and 3,129.44 is: 4,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.64 : 7,572.40 = 3,129.44 : x
  2. Step 2: Convert to fraction form
    5,486.64/7,572.40 = 3,129.44/x
  3. Step 3: Cross multiply
    5,486.64x = 7,572.40 × 3,129.44
  4. Step 4: Simplify right side
    5,486.64x = 23,697,371.46
  5. Step 5: Solve for x
    x = 23,697,371.46/5,486.64
  6. Step 6: Final answer
    x = 4,319.10

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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.