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Finding the Fourth Proportional to 5,219.55, 7,830.11 and 1,521.30

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Solution

The fourth proportional to 5,219.55, 7,830.11 and 1,521.30 is: 2,282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.55 : 7,830.11 = 1,521.30 : x
  2. Step 2: Convert to fraction form
    5,219.55/7,830.11 = 1,521.30/x
  3. Step 3: Cross multiply
    5,219.55x = 7,830.11 × 1,521.30
  4. Step 4: Simplify right side
    5,219.55x = 11,911,938.74
  5. Step 5: Solve for x
    x = 11,911,938.74/5,219.55
  6. Step 6: Final answer
    x = 2,282.18

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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.