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Finding the Fourth Proportional to 4,585.92, 6,877.80 and 2,119.20

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Solution

The fourth proportional to 4,585.92, 6,877.80 and 2,119.20 is: 3,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.92 : 6,877.80 = 2,119.20 : x
  2. Step 2: Convert to fraction form
    4,585.92/6,877.80 = 2,119.20/x
  3. Step 3: Cross multiply
    4,585.92x = 6,877.80 × 2,119.20
  4. Step 4: Simplify right side
    4,585.92x = 14,575,433.76
  5. Step 5: Solve for x
    x = 14,575,433.76/4,585.92
  6. Step 6: Final answer
    x = 3,178.30

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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.