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Finding the Fourth Proportional to 5,703.66, 7,872.93 and 3,610.62

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Solution

The fourth proportional to 5,703.66, 7,872.93 and 3,610.62 is: 4,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.66 : 7,872.93 = 3,610.62 : x
  2. Step 2: Convert to fraction form
    5,703.66/7,872.93 = 3,610.62/x
  3. Step 3: Cross multiply
    5,703.66x = 7,872.93 × 3,610.62
  4. Step 4: Simplify right side
    5,703.66x = 28,426,158.52
  5. Step 5: Solve for x
    x = 28,426,158.52/5,703.66
  6. Step 6: Final answer
    x = 4,983.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.