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Finding the Fourth Proportional to 5,899.60, 8,849.40 and 5,510.80

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Solution

The fourth proportional to 5,899.60, 8,849.40 and 5,510.80 is: 8,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.60 : 8,849.40 = 5,510.80 : x
  2. Step 2: Convert to fraction form
    5,899.60/8,849.40 = 5,510.80/x
  3. Step 3: Cross multiply
    5,899.60x = 8,849.40 × 5,510.80
  4. Step 4: Simplify right side
    5,899.60x = 48,767,273.52
  5. Step 5: Solve for x
    x = 48,767,273.52/5,899.60
  6. Step 6: Final answer
    x = 8,266.20

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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.