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Finding the Fourth Proportional to 5,297.90, 7,312.42 and 3,061.07

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Solution

The fourth proportional to 5,297.90, 7,312.42 and 3,061.07 is: 4,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.90 : 7,312.42 = 3,061.07 : x
  2. Step 2: Convert to fraction form
    5,297.90/7,312.42 = 3,061.07/x
  3. Step 3: Cross multiply
    5,297.90x = 7,312.42 × 3,061.07
  4. Step 4: Simplify right side
    5,297.90x = 22,383,824.18
  5. Step 5: Solve for x
    x = 22,383,824.18/5,297.90
  6. Step 6: Final answer
    x = 4,225.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.