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Finding the Fourth Proportional to 3,510.63, 5,266.92 and 1,535.90

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Solution

The fourth proportional to 3,510.63, 5,266.92 and 1,535.90 is: 2,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.63 : 5,266.92 = 1,535.90 : x
  2. Step 2: Convert to fraction form
    3,510.63/5,266.92 = 1,535.90/x
  3. Step 3: Cross multiply
    3,510.63x = 5,266.92 × 1,535.90
  4. Step 4: Simplify right side
    3,510.63x = 8,089,471.76
  5. Step 5: Solve for x
    x = 8,089,471.76/3,510.63
  6. Step 6: Final answer
    x = 2,304.28

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1.5x scale

Why These Related Problems?

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