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Finding the Fourth Proportional to 3,875.28, 5,347.86 and 2,197.01

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Solution

The fourth proportional to 3,875.28, 5,347.86 and 2,197.01 is: 3,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.28 : 5,347.86 = 2,197.01 : x
  2. Step 2: Convert to fraction form
    3,875.28/5,347.86 = 2,197.01/x
  3. Step 3: Cross multiply
    3,875.28x = 5,347.86 × 2,197.01
  4. Step 4: Simplify right side
    3,875.28x = 11,749,275.16
  5. Step 5: Solve for x
    x = 11,749,275.16/3,875.28
  6. Step 6: Final answer
    x = 3,031.85

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