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Finding the Fourth Proportional to 4,340.90, 6,478.07 and 3,873.74

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Solution

The fourth proportional to 4,340.90, 6,478.07 and 3,873.74 is: 5,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.90 : 6,478.07 = 3,873.74 : x
  2. Step 2: Convert to fraction form
    4,340.90/6,478.07 = 3,873.74/x
  3. Step 3: Cross multiply
    4,340.90x = 6,478.07 × 3,873.74
  4. Step 4: Simplify right side
    4,340.90x = 25,094,307.12
  5. Step 5: Solve for x
    x = 25,094,307.12/4,340.90
  6. Step 6: Final answer
    x = 5,780.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.