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Finding the Fourth Proportional to 4,591.42, 6,887.61 and 1,470.69

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Solution

The fourth proportional to 4,591.42, 6,887.61 and 1,470.69 is: 2,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.42 : 6,887.61 = 1,470.69 : x
  2. Step 2: Convert to fraction form
    4,591.42/6,887.61 = 1,470.69/x
  3. Step 3: Cross multiply
    4,591.42x = 6,887.61 × 1,470.69
  4. Step 4: Simplify right side
    4,591.42x = 10,129,539.15
  5. Step 5: Solve for x
    x = 10,129,539.15/4,591.42
  6. Step 6: Final answer
    x = 2,206.19

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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.