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Finding the Fourth Proportional to 4,095.68, 6,140.80 and 1,903.20

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Solution

The fourth proportional to 4,095.68, 6,140.80 and 1,903.20 is: 2,853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.68 : 6,140.80 = 1,903.20 : x
  2. Step 2: Convert to fraction form
    4,095.68/6,140.80 = 1,903.20/x
  3. Step 3: Cross multiply
    4,095.68x = 6,140.80 × 1,903.20
  4. Step 4: Simplify right side
    4,095.68x = 11,687,170.56
  5. Step 5: Solve for x
    x = 11,687,170.56/4,095.68
  6. Step 6: Final answer
    x = 2,853.54

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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.