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Finding the Fourth Proportional to 5,228.75, 7,842.22 and 1,530.90

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Solution

The fourth proportional to 5,228.75, 7,842.22 and 1,530.90 is: 2,296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.75 : 7,842.22 = 1,530.90 : x
  2. Step 2: Convert to fraction form
    5,228.75/7,842.22 = 1,530.90/x
  3. Step 3: Cross multiply
    5,228.75x = 7,842.22 × 1,530.90
  4. Step 4: Simplify right side
    5,228.75x = 12,005,650.77
  5. Step 5: Solve for x
    x = 12,005,650.77/5,228.75
  6. Step 6: Final answer
    x = 2,296.08

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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.