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Finding the Fourth Proportional to 3,586.78, 4,948.32 and 2,880.43

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Solution

The fourth proportional to 3,586.78, 4,948.32 and 2,880.43 is: 3,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.78 : 4,948.32 = 2,880.43 : x
  2. Step 2: Convert to fraction form
    3,586.78/4,948.32 = 2,880.43/x
  3. Step 3: Cross multiply
    3,586.78x = 4,948.32 × 2,880.43
  4. Step 4: Simplify right side
    3,586.78x = 14,253,287.81
  5. Step 5: Solve for x
    x = 14,253,287.81/3,586.78
  6. Step 6: Final answer
    x = 3,973.84

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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.