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Finding the Fourth Proportional to 5,830.95, 8,744.15 and 2,541.80

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Solution

The fourth proportional to 5,830.95, 8,744.15 and 2,541.80 is: 3,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.95 : 8,744.15 = 2,541.80 : x
  2. Step 2: Convert to fraction form
    5,830.95/8,744.15 = 2,541.80/x
  3. Step 3: Cross multiply
    5,830.95x = 8,744.15 × 2,541.80
  4. Step 4: Simplify right side
    5,830.95x = 22,225,859.50
  5. Step 5: Solve for x
    x = 22,225,859.50/5,830.95
  6. Step 6: Final answer
    x = 3,811.70

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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.