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Finding the Fourth Proportional to 3,422.55, 4,712.28 and 3,237.98

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Solution

The fourth proportional to 3,422.55, 4,712.28 and 3,237.98 is: 4,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.55 : 4,712.28 = 3,237.98 : x
  2. Step 2: Convert to fraction form
    3,422.55/4,712.28 = 3,237.98/x
  3. Step 3: Cross multiply
    3,422.55x = 4,712.28 × 3,237.98
  4. Step 4: Simplify right side
    3,422.55x = 15,258,232.69
  5. Step 5: Solve for x
    x = 15,258,232.69/3,422.55
  6. Step 6: Final answer
    x = 4,458.14

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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.