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Finding the Fourth Proportional to 3,526.52, 4,862 and 2,197.92

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Solution

The fourth proportional to 3,526.52, 4,862 and 2,197.92 is: 3,030.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.52 : 4,862 = 2,197.92 : x
  2. Step 2: Convert to fraction form
    3,526.52/4,862 = 2,197.92/x
  3. Step 3: Cross multiply
    3,526.52x = 4,862 × 2,197.92
  4. Step 4: Simplify right side
    3,526.52x = 10,686,287.04
  5. Step 5: Solve for x
    x = 10,686,287.04/3,526.52
  6. Step 6: Final answer
    x = 3,030.26

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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.