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Finding the Fourth Proportional to 3,885.04, 5,827.52 and 2,574.66

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Solution

The fourth proportional to 3,885.04, 5,827.52 and 2,574.66 is: 3,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.04 : 5,827.52 = 2,574.66 : x
  2. Step 2: Convert to fraction form
    3,885.04/5,827.52 = 2,574.66/x
  3. Step 3: Cross multiply
    3,885.04x = 5,827.52 × 2,574.66
  4. Step 4: Simplify right side
    3,885.04x = 15,003,869.77
  5. Step 5: Solve for x
    x = 15,003,869.77/3,885.04
  6. Step 6: Final answer
    x = 3,861.96

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Why These Related Problems?

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