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Finding the Fourth Proportional to 4,916.73, 7,376.12 and 1,630.08

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Solution

The fourth proportional to 4,916.73, 7,376.12 and 1,630.08 is: 2,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.73 : 7,376.12 = 1,630.08 : x
  2. Step 2: Convert to fraction form
    4,916.73/7,376.12 = 1,630.08/x
  3. Step 3: Cross multiply
    4,916.73x = 7,376.12 × 1,630.08
  4. Step 4: Simplify right side
    4,916.73x = 12,023,665.69
  5. Step 5: Solve for x
    x = 12,023,665.69/4,916.73
  6. Step 6: Final answer
    x = 2,445.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.