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Finding the Fourth Proportional to 4,630.72, 6,946.80 and 1,552

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Solution

The fourth proportional to 4,630.72, 6,946.80 and 1,552 is: 2,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.72 : 6,946.80 = 1,552 : x
  2. Step 2: Convert to fraction form
    4,630.72/6,946.80 = 1,552/x
  3. Step 3: Cross multiply
    4,630.72x = 6,946.80 × 1,552
  4. Step 4: Simplify right side
    4,630.72x = 10,781,433.60
  5. Step 5: Solve for x
    x = 10,781,433.60/4,630.72
  6. Step 6: Final answer
    x = 2,328.24

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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.