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Finding the Fourth Proportional to 3,506.28, 5,259.41 and 1,041.95

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Solution

The fourth proportional to 3,506.28, 5,259.41 and 1,041.95 is: 1,562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.28 : 5,259.41 = 1,041.95 : x
  2. Step 2: Convert to fraction form
    3,506.28/5,259.41 = 1,041.95/x
  3. Step 3: Cross multiply
    3,506.28x = 5,259.41 × 1,041.95
  4. Step 4: Simplify right side
    3,506.28x = 5,480,042.25
  5. Step 5: Solve for x
    x = 5,480,042.25/3,506.28
  6. Step 6: Final answer
    x = 1,562.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.