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Finding the Fourth Proportional to 6,587.32, 9,875.82 and 3,298.76

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Solution

The fourth proportional to 6,587.32, 9,875.82 and 3,298.76 is: 4,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.32 : 9,875.82 = 3,298.76 : x
  2. Step 2: Convert to fraction form
    6,587.32/9,875.82 = 3,298.76/x
  3. Step 3: Cross multiply
    6,587.32x = 9,875.82 × 3,298.76
  4. Step 4: Simplify right side
    6,587.32x = 32,577,959.98
  5. Step 5: Solve for x
    x = 32,577,959.98/6,587.32
  6. Step 6: Final answer
    x = 4,945.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.