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Finding the Fourth Proportional to 4,223.94, 6,335.94 and 1,302.18

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Solution

The fourth proportional to 4,223.94, 6,335.94 and 1,302.18 is: 1,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.94 : 6,335.94 = 1,302.18 : x
  2. Step 2: Convert to fraction form
    4,223.94/6,335.94 = 1,302.18/x
  3. Step 3: Cross multiply
    4,223.94x = 6,335.94 × 1,302.18
  4. Step 4: Simplify right side
    4,223.94x = 8,250,534.35
  5. Step 5: Solve for x
    x = 8,250,534.35/4,223.94
  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.