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Finding the Fourth Proportional to 5,750.56, 8,642.25 and 2,830.92

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Solution

The fourth proportional to 5,750.56, 8,642.25 and 2,830.92 is: 4,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.56 : 8,642.25 = 2,830.92 : x
  2. Step 2: Convert to fraction form
    5,750.56/8,642.25 = 2,830.92/x
  3. Step 3: Cross multiply
    5,750.56x = 8,642.25 × 2,830.92
  4. Step 4: Simplify right side
    5,750.56x = 24,465,518.37
  5. Step 5: Solve for x
    x = 24,465,518.37/5,750.56
  6. Step 6: Final answer
    x = 4,254.46

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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.