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Finding the Fourth Proportional to 3,483.82, 5,225.74 and 886.74

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Solution

The fourth proportional to 3,483.82, 5,225.74 and 886.74 is: 1,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.82 : 5,225.74 = 886.74 : x
  2. Step 2: Convert to fraction form
    3,483.82/5,225.74 = 886.74/x
  3. Step 3: Cross multiply
    3,483.82x = 5,225.74 × 886.74
  4. Step 4: Simplify right side
    3,483.82x = 4,633,872.69
  5. Step 5: Solve for x
    x = 4,633,872.69/3,483.82
  6. Step 6: Final answer
    x = 1,330.11

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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.