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Finding the Fourth Proportional to 3,439.52, 5,158.63 and 973.75

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Solution

The fourth proportional to 3,439.52, 5,158.63 and 973.75 is: 1,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.52 : 5,158.63 = 973.75 : x
  2. Step 2: Convert to fraction form
    3,439.52/5,158.63 = 973.75/x
  3. Step 3: Cross multiply
    3,439.52x = 5,158.63 × 973.75
  4. Step 4: Simplify right side
    3,439.52x = 5,023,200.63
  5. Step 5: Solve for x
    x = 5,023,200.63/3,439.52
  6. Step 6: Final answer
    x = 1,460.44

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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.