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Finding the Fourth Proportional to 4,574.72, 6,862.05 and 1,287.80

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Solution

The fourth proportional to 4,574.72, 6,862.05 and 1,287.80 is: 1,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.72 : 6,862.05 = 1,287.80 : x
  2. Step 2: Convert to fraction form
    4,574.72/6,862.05 = 1,287.80/x
  3. Step 3: Cross multiply
    4,574.72x = 6,862.05 × 1,287.80
  4. Step 4: Simplify right side
    4,574.72x = 8,836,939.41
  5. Step 5: Solve for x
    x = 8,836,939.41/4,574.72
  6. Step 6: Final answer
    x = 1,931.69

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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.