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Finding the Fourth Proportional to 4,223.80, 6,335.82 and 1,302.16

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Solution

The fourth proportional to 4,223.80, 6,335.82 and 1,302.16 is: 1,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.80 : 6,335.82 = 1,302.16 : x
  2. Step 2: Convert to fraction form
    4,223.80/6,335.82 = 1,302.16/x
  3. Step 3: Cross multiply
    4,223.80x = 6,335.82 × 1,302.16
  4. Step 4: Simplify right side
    4,223.80x = 8,250,251.37
  5. Step 5: Solve for x
    x = 8,250,251.37/4,223.80
  6. Step 6: Final answer
    x = 1,953.28

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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.