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Finding the Fourth Proportional to 6,298.16, 8,684.25 and 4,026.46

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Solution

The fourth proportional to 6,298.16, 8,684.25 and 4,026.46 is: 5,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.16 : 8,684.25 = 4,026.46 : x
  2. Step 2: Convert to fraction form
    6,298.16/8,684.25 = 4,026.46/x
  3. Step 3: Cross multiply
    6,298.16x = 8,684.25 × 4,026.46
  4. Step 4: Simplify right side
    6,298.16x = 34,966,789.15
  5. Step 5: Solve for x
    x = 34,966,789.15/6,298.16
  6. Step 6: Final answer
    x = 5,551.91

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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.