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Finding the Fourth Proportional to 5,703.46, 8,555.43 and 1,807.78

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Solution

The fourth proportional to 5,703.46, 8,555.43 and 1,807.78 is: 2,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.46 : 8,555.43 = 1,807.78 : x
  2. Step 2: Convert to fraction form
    5,703.46/8,555.43 = 1,807.78/x
  3. Step 3: Cross multiply
    5,703.46x = 8,555.43 × 1,807.78
  4. Step 4: Simplify right side
    5,703.46x = 15,466,335.25
  5. Step 5: Solve for x
    x = 15,466,335.25/5,703.46
  6. Step 6: Final answer
    x = 2,711.75

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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.