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Finding the Fourth Proportional to 6,435.74, 8,881.08 and 3,641.24

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Solution

The fourth proportional to 6,435.74, 8,881.08 and 3,641.24 is: 5,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.74 : 8,881.08 = 3,641.24 : x
  2. Step 2: Convert to fraction form
    6,435.74/8,881.08 = 3,641.24/x
  3. Step 3: Cross multiply
    6,435.74x = 8,881.08 × 3,641.24
  4. Step 4: Simplify right side
    6,435.74x = 32,338,143.74
  5. Step 5: Solve for x
    x = 32,338,143.74/6,435.74
  6. Step 6: Final answer
    x = 5,024.77

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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.