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Finding the Fourth Proportional to 6,298.16, 8,689.70 and 3,645.41

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Solution

The fourth proportional to 6,298.16, 8,689.70 and 3,645.41 is: 5,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.16 : 8,689.70 = 3,645.41 : x
  2. Step 2: Convert to fraction form
    6,298.16/8,689.70 = 3,645.41/x
  3. Step 3: Cross multiply
    6,298.16x = 8,689.70 × 3,645.41
  4. Step 4: Simplify right side
    6,298.16x = 31,677,501.05
  5. Step 5: Solve for x
    x = 31,677,501.05/6,298.16
  6. Step 6: Final answer
    x = 5,029.64

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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.