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Finding the Fourth Proportional to 6,435.84, 8,878.80 and 3,917.04

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Solution

The fourth proportional to 6,435.84, 8,878.80 and 3,917.04 is: 5,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.84 : 8,878.80 = 3,917.04 : x
  2. Step 2: Convert to fraction form
    6,435.84/8,878.80 = 3,917.04/x
  3. Step 3: Cross multiply
    6,435.84x = 8,878.80 × 3,917.04
  4. Step 4: Simplify right side
    6,435.84x = 34,778,614.75
  5. Step 5: Solve for x
    x = 34,778,614.75/6,435.84
  6. Step 6: Final answer
    x = 5,403.90

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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.