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Finding the Fourth Proportional to 4,315.75, 6,472.98 and 1,393.66

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Solution

The fourth proportional to 4,315.75, 6,472.98 and 1,393.66 is: 2,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.75 : 6,472.98 = 1,393.66 : x
  2. Step 2: Convert to fraction form
    4,315.75/6,472.98 = 1,393.66/x
  3. Step 3: Cross multiply
    4,315.75x = 6,472.98 × 1,393.66
  4. Step 4: Simplify right side
    4,315.75x = 9,021,133.31
  5. Step 5: Solve for x
    x = 9,021,133.31/4,315.75
  6. Step 6: Final answer
    x = 2,090.28

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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.