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Finding the Fourth Proportional to 6,284.10, 8,671.77 and 3,489.78

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Solution

The fourth proportional to 6,284.10, 8,671.77 and 3,489.78 is: 4,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.10 : 8,671.77 = 3,489.78 : x
  2. Step 2: Convert to fraction form
    6,284.10/8,671.77 = 3,489.78/x
  3. Step 3: Cross multiply
    6,284.10x = 8,671.77 × 3,489.78
  4. Step 4: Simplify right side
    6,284.10x = 30,262,569.51
  5. Step 5: Solve for x
    x = 30,262,569.51/6,284.10
  6. Step 6: Final answer
    x = 4,815.74

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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.