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Finding the Fourth Proportional to 3,532.95, 5,300.19 and 1,341.72

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Solution

The fourth proportional to 3,532.95, 5,300.19 and 1,341.72 is: 2,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.95 : 5,300.19 = 1,341.72 : x
  2. Step 2: Convert to fraction form
    3,532.95/5,300.19 = 1,341.72/x
  3. Step 3: Cross multiply
    3,532.95x = 5,300.19 × 1,341.72
  4. Step 4: Simplify right side
    3,532.95x = 7,111,370.93
  5. Step 5: Solve for x
    x = 7,111,370.93/3,532.95
  6. Step 6: Final answer
    x = 2,012.87

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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.