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Finding the Fourth Proportional to 4,574.57, 6,861.41 and 1,287.59

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Solution

The fourth proportional to 4,574.57, 6,861.41 and 1,287.59 is: 1,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.57 : 6,861.41 = 1,287.59 : x
  2. Step 2: Convert to fraction form
    4,574.57/6,861.41 = 1,287.59/x
  3. Step 3: Cross multiply
    4,574.57x = 6,861.41 × 1,287.59
  4. Step 4: Simplify right side
    4,574.57x = 8,834,676.46
  5. Step 5: Solve for x
    x = 8,834,676.46/4,574.57
  6. Step 6: Final answer
    x = 1,931.26

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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.