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Finding the Fourth Proportional to 5,773.06, 7,966.83 and 3,120.47

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Solution

The fourth proportional to 5,773.06, 7,966.83 and 3,120.47 is: 4,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.06 : 7,966.83 = 3,120.47 : x
  2. Step 2: Convert to fraction form
    5,773.06/7,966.83 = 3,120.47/x
  3. Step 3: Cross multiply
    5,773.06x = 7,966.83 × 3,120.47
  4. Step 4: Simplify right side
    5,773.06x = 24,860,254.01
  5. Step 5: Solve for x
    x = 24,860,254.01/5,773.06
  6. Step 6: Final answer
    x = 4,306.25

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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.