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Finding the Fourth Proportional to 5,259.77, 7,890.77 and 1,562.25

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Solution

The fourth proportional to 5,259.77, 7,890.77 and 1,562.25 is: 2,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.77 : 7,890.77 = 1,562.25 : x
  2. Step 2: Convert to fraction form
    5,259.77/7,890.77 = 1,562.25/x
  3. Step 3: Cross multiply
    5,259.77x = 7,890.77 × 1,562.25
  4. Step 4: Simplify right side
    5,259.77x = 12,327,355.43
  5. Step 5: Solve for x
    x = 12,327,355.43/5,259.77
  6. Step 6: Final answer
    x = 2,343.71

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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.