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Finding the Fourth Proportional to 3,057.72, 4,586.04 and 865.95

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Solution

The fourth proportional to 3,057.72, 4,586.04 and 865.95 is: 1,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.72 : 4,586.04 = 865.95 : x
  2. Step 2: Convert to fraction form
    3,057.72/4,586.04 = 865.95/x
  3. Step 3: Cross multiply
    3,057.72x = 4,586.04 × 865.95
  4. Step 4: Simplify right side
    3,057.72x = 3,971,281.34
  5. Step 5: Solve for x
    x = 3,971,281.34/3,057.72
  6. Step 6: Final answer
    x = 1,298.77

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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.