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Finding the Fourth Proportional to 5,220.32, 7,823.44 and 2,625.12

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Solution

The fourth proportional to 5,220.32, 7,823.44 and 2,625.12 is: 3,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.32 : 7,823.44 = 2,625.12 : x
  2. Step 2: Convert to fraction form
    5,220.32/7,823.44 = 2,625.12/x
  3. Step 3: Cross multiply
    5,220.32x = 7,823.44 × 2,625.12
  4. Step 4: Simplify right side
    5,220.32x = 20,537,468.81
  5. Step 5: Solve for x
    x = 20,537,468.81/5,220.32
  6. Step 6: Final answer
    x = 3,934.14

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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.