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Finding the Fourth Proportional to 3,923.84, 5,885.76 and 1,002.15

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Solution

The fourth proportional to 3,923.84, 5,885.76 and 1,002.15 is: 1,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.84 : 5,885.76 = 1,002.15 : x
  2. Step 2: Convert to fraction form
    3,923.84/5,885.76 = 1,002.15/x
  3. Step 3: Cross multiply
    3,923.84x = 5,885.76 × 1,002.15
  4. Step 4: Simplify right side
    3,923.84x = 5,898,379.94
  5. Step 5: Solve for x
    x = 5,898,379.94/3,923.84
  6. Step 6: Final answer
    x = 1,503.22

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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.