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Finding the Fourth Proportional to 6,380.94, 8,805.03 and 3,547.86

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Solution

The fourth proportional to 6,380.94, 8,805.03 and 3,547.86 is: 4,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.94 : 8,805.03 = 3,547.86 : x
  2. Step 2: Convert to fraction form
    6,380.94/8,805.03 = 3,547.86/x
  3. Step 3: Cross multiply
    6,380.94x = 8,805.03 × 3,547.86
  4. Step 4: Simplify right side
    6,380.94x = 31,239,013.74
  5. Step 5: Solve for x
    x = 31,239,013.74/6,380.94
  6. Step 6: Final answer
    x = 4,895.68

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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.