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Finding the Fourth Proportional to 4,591.58, 6,887.83 and 1,470.80

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Solution

The fourth proportional to 4,591.58, 6,887.83 and 1,470.80 is: 2,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.58 : 6,887.83 = 1,470.80 : x
  2. Step 2: Convert to fraction form
    4,591.58/6,887.83 = 1,470.80/x
  3. Step 3: Cross multiply
    4,591.58x = 6,887.83 × 1,470.80
  4. Step 4: Simplify right side
    4,591.58x = 10,130,633.91
  5. Step 5: Solve for x
    x = 10,130,633.91/4,591.58
  6. Step 6: Final answer
    x = 2,206.35

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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.