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Finding the Fourth Proportional to 3,443.84, 4,752.47 and 1,871.90

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Solution

The fourth proportional to 3,443.84, 4,752.47 and 1,871.90 is: 2,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.84 : 4,752.47 = 1,871.90 : x
  2. Step 2: Convert to fraction form
    3,443.84/4,752.47 = 1,871.90/x
  3. Step 3: Cross multiply
    3,443.84x = 4,752.47 × 1,871.90
  4. Step 4: Simplify right side
    3,443.84x = 8,896,129.51
  5. Step 5: Solve for x
    x = 8,896,129.51/3,443.84
  6. Step 6: Final answer
    x = 2,583.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.