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Finding the Fourth Proportional to 4,781.43, 6,599.88 and 4,409.64

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Solution

The fourth proportional to 4,781.43, 6,599.88 and 4,409.64 is: 6,086.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.43 : 6,599.88 = 4,409.64 : x
  2. Step 2: Convert to fraction form
    4,781.43/6,599.88 = 4,409.64/x
  3. Step 3: Cross multiply
    4,781.43x = 6,599.88 × 4,409.64
  4. Step 4: Simplify right side
    4,781.43x = 29,103,094.84
  5. Step 5: Solve for x
    x = 29,103,094.84/4,781.43
  6. Step 6: Final answer
    x = 6,086.69

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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.