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Finding the Fourth Proportional to 5,298.97, 7,312.25 and 3,060.48

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Solution

The fourth proportional to 5,298.97, 7,312.25 and 3,060.48 is: 4,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.97 : 7,312.25 = 3,060.48 : x
  2. Step 2: Convert to fraction form
    5,298.97/7,312.25 = 3,060.48/x
  3. Step 3: Cross multiply
    5,298.97x = 7,312.25 × 3,060.48
  4. Step 4: Simplify right side
    5,298.97x = 22,379,021.34
  5. Step 5: Solve for x
    x = 22,379,021.34/5,298.97
  6. Step 6: Final answer
    x = 4,223.28

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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.