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Finding the Fourth Proportional to 5,300.22, 7,312.17 and 3,061.65

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Solution

The fourth proportional to 5,300.22, 7,312.17 and 3,061.65 is: 4,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.22 : 7,312.17 = 3,061.65 : x
  2. Step 2: Convert to fraction form
    5,300.22/7,312.17 = 3,061.65/x
  3. Step 3: Cross multiply
    5,300.22x = 7,312.17 × 3,061.65
  4. Step 4: Simplify right side
    5,300.22x = 22,387,305.28
  5. Step 5: Solve for x
    x = 22,387,305.28/5,300.22
  6. Step 6: Final answer
    x = 4,223.84

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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.