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Finding the Fourth Proportional to 3,875.68, 5,813.76 and 2,118.40

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Solution

The fourth proportional to 3,875.68, 5,813.76 and 2,118.40 is: 3,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.68 : 5,813.76 = 2,118.40 : x
  2. Step 2: Convert to fraction form
    3,875.68/5,813.76 = 2,118.40/x
  3. Step 3: Cross multiply
    3,875.68x = 5,813.76 × 2,118.40
  4. Step 4: Simplify right side
    3,875.68x = 12,315,869.18
  5. Step 5: Solve for x
    x = 12,315,869.18/3,875.68
  6. Step 6: Final answer
    x = 3,177.73

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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.