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Finding the Fourth Proportional to 3,192.44, 4,792.71 and 3,061.22

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Solution

The fourth proportional to 3,192.44, 4,792.71 and 3,061.22 is: 4,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.44 : 4,792.71 = 3,061.22 : x
  2. Step 2: Convert to fraction form
    3,192.44/4,792.71 = 3,061.22/x
  3. Step 3: Cross multiply
    3,192.44x = 4,792.71 × 3,061.22
  4. Step 4: Simplify right side
    3,192.44x = 14,671,539.71
  5. Step 5: Solve for x
    x = 14,671,539.71/3,192.44
  6. Step 6: Final answer
    x = 4,595.71

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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.