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Finding the Fourth Proportional to 3,871.84, 5,802.52 and 2,484.46

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Solution

The fourth proportional to 3,871.84, 5,802.52 and 2,484.46 is: 3,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.84 : 5,802.52 = 2,484.46 : x
  2. Step 2: Convert to fraction form
    3,871.84/5,802.52 = 2,484.46/x
  3. Step 3: Cross multiply
    3,871.84x = 5,802.52 × 2,484.46
  4. Step 4: Simplify right side
    3,871.84x = 14,416,128.84
  5. Step 5: Solve for x
    x = 14,416,128.84/3,871.84
  6. Step 6: Final answer
    x = 3,723.33

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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.