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Finding the Fourth Proportional to 5,312.29, 7,968.42 and 2,530.52

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Solution

The fourth proportional to 5,312.29, 7,968.42 and 2,530.52 is: 3,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.29 : 7,968.42 = 2,530.52 : x
  2. Step 2: Convert to fraction form
    5,312.29/7,968.42 = 2,530.52/x
  3. Step 3: Cross multiply
    5,312.29x = 7,968.42 × 2,530.52
  4. Step 4: Simplify right side
    5,312.29x = 20,164,246.18
  5. Step 5: Solve for x
    x = 20,164,246.18/5,312.29
  6. Step 6: Final answer
    x = 3,795.78

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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.