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Finding the Fourth Proportional to 4,122.46, 5,688.92 and 2,259.46

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Solution

The fourth proportional to 4,122.46, 5,688.92 and 2,259.46 is: 3,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.46 : 5,688.92 = 2,259.46 : x
  2. Step 2: Convert to fraction form
    4,122.46/5,688.92 = 2,259.46/x
  3. Step 3: Cross multiply
    4,122.46x = 5,688.92 × 2,259.46
  4. Step 4: Simplify right side
    4,122.46x = 12,853,887.18
  5. Step 5: Solve for x
    x = 12,853,887.18/4,122.46
  6. Step 6: Final answer
    x = 3,118.01

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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.