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Finding the Fourth Proportional to 5,685.77, 8,529.80 and 2,398.85

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Solution

The fourth proportional to 5,685.77, 8,529.80 and 2,398.85 is: 3,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.77 : 8,529.80 = 2,398.85 : x
  2. Step 2: Convert to fraction form
    5,685.77/8,529.80 = 2,398.85/x
  3. Step 3: Cross multiply
    5,685.77x = 8,529.80 × 2,398.85
  4. Step 4: Simplify right side
    5,685.77x = 20,461,698.74
  5. Step 5: Solve for x
    x = 20,461,698.74/5,685.77
  6. Step 6: Final answer
    x = 3,598.76

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