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Finding the Fourth Proportional to 3,528, 4,864.22 and 2,266.84

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Solution

The fourth proportional to 3,528, 4,864.22 and 2,266.84 is: 3,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528 : 4,864.22 = 2,266.84 : x
  2. Step 2: Convert to fraction form
    3,528/4,864.22 = 2,266.84/x
  3. Step 3: Cross multiply
    3,528x = 4,864.22 × 2,266.84
  4. Step 4: Simplify right side
    3,528x = 11,026,408.46
  5. Step 5: Solve for x
    x = 11,026,408.46/3,528
  6. Step 6: Final answer
    x = 3,125.40

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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.