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Finding the Fourth Proportional to 3,895.04, 5,377.74 and 2,405.15

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Solution

The fourth proportional to 3,895.04, 5,377.74 and 2,405.15 is: 3,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.04 : 5,377.74 = 2,405.15 : x
  2. Step 2: Convert to fraction form
    3,895.04/5,377.74 = 2,405.15/x
  3. Step 3: Cross multiply
    3,895.04x = 5,377.74 × 2,405.15
  4. Step 4: Simplify right side
    3,895.04x = 12,934,255.62
  5. Step 5: Solve for x
    x = 12,934,255.62/3,895.04
  6. Step 6: Final answer
    x = 3,320.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.