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Finding the Fourth Proportional to 3,452.84, 4,765.01 and 1,881.03

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Solution

The fourth proportional to 3,452.84, 4,765.01 and 1,881.03 is: 2,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.84 : 4,765.01 = 1,881.03 : x
  2. Step 2: Convert to fraction form
    3,452.84/4,765.01 = 1,881.03/x
  3. Step 3: Cross multiply
    3,452.84x = 4,765.01 × 1,881.03
  4. Step 4: Simplify right side
    3,452.84x = 8,963,117.36
  5. Step 5: Solve for x
    x = 8,963,117.36/3,452.84
  6. Step 6: Final answer
    x = 2,595.87

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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.