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Finding the Fourth Proportional to 3,525.49, 4,862.76 and 2,264.50

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Solution

The fourth proportional to 3,525.49, 4,862.76 and 2,264.50 is: 3,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.49 : 4,862.76 = 2,264.50 : x
  2. Step 2: Convert to fraction form
    3,525.49/4,862.76 = 2,264.50/x
  3. Step 3: Cross multiply
    3,525.49x = 4,862.76 × 2,264.50
  4. Step 4: Simplify right side
    3,525.49x = 11,011,720.02
  5. Step 5: Solve for x
    x = 11,011,720.02/3,525.49
  6. Step 6: Final answer
    x = 3,123.46

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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.