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Finding the Fourth Proportional to 3,862.70, 5,779.70 and 2,303.55

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Solution

The fourth proportional to 3,862.70, 5,779.70 and 2,303.55 is: 3,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.70 : 5,779.70 = 2,303.55 : x
  2. Step 2: Convert to fraction form
    3,862.70/5,779.70 = 2,303.55/x
  3. Step 3: Cross multiply
    3,862.70x = 5,779.70 × 2,303.55
  4. Step 4: Simplify right side
    3,862.70x = 13,313,816.42
  5. Step 5: Solve for x
    x = 13,313,816.42/3,862.70
  6. Step 6: Final answer
    x = 3,446.76

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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.