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Finding the Fourth Proportional to 5,865.40, 8,778.90 and 4,559.80

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Solution

The fourth proportional to 5,865.40, 8,778.90 and 4,559.80 is: 6,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.40 : 8,778.90 = 4,559.80 : x
  2. Step 2: Convert to fraction form
    5,865.40/8,778.90 = 4,559.80/x
  3. Step 3: Cross multiply
    5,865.40x = 8,778.90 × 4,559.80
  4. Step 4: Simplify right side
    5,865.40x = 40,030,028.22
  5. Step 5: Solve for x
    x = 40,030,028.22/5,865.40
  6. Step 6: Final answer
    x = 6,824.77

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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.