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Finding the Fourth Proportional to 4,534.82, 6,802.24 and 1,248.42

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Solution

The fourth proportional to 4,534.82, 6,802.24 and 1,248.42 is: 1,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.82 : 6,802.24 = 1,248.42 : x
  2. Step 2: Convert to fraction form
    4,534.82/6,802.24 = 1,248.42/x
  3. Step 3: Cross multiply
    4,534.82x = 6,802.24 × 1,248.42
  4. Step 4: Simplify right side
    4,534.82x = 8,492,052.46
  5. Step 5: Solve for x
    x = 8,492,052.46/4,534.82
  6. Step 6: Final answer
    x = 1,872.63

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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.