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Finding the Fourth Proportional to 6,680.32, 10,026.98 and 3,220

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Solution

The fourth proportional to 6,680.32, 10,026.98 and 3,220 is: 4,833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.32 : 10,026.98 = 3,220 : x
  2. Step 2: Convert to fraction form
    6,680.32/10,026.98 = 3,220/x
  3. Step 3: Cross multiply
    6,680.32x = 10,026.98 × 3,220
  4. Step 4: Simplify right side
    6,680.32x = 32,286,875.60
  5. Step 5: Solve for x
    x = 32,286,875.60/6,680.32
  6. Step 6: Final answer
    x = 4,833.13

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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.