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Finding the Fourth Proportional to 4,889.60, 7,332.12 and 1,426.16

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Solution

The fourth proportional to 4,889.60, 7,332.12 and 1,426.16 is: 2,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.60 : 7,332.12 = 1,426.16 : x
  2. Step 2: Convert to fraction form
    4,889.60/7,332.12 = 1,426.16/x
  3. Step 3: Cross multiply
    4,889.60x = 7,332.12 × 1,426.16
  4. Step 4: Simplify right side
    4,889.60x = 10,456,776.26
  5. Step 5: Solve for x
    x = 10,456,776.26/4,889.60
  6. Step 6: Final answer
    x = 2,138.57

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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.