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Finding the Fourth Proportional to 3,630.72, 5,009.70 and 2,509.92

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Solution

The fourth proportional to 3,630.72, 5,009.70 and 2,509.92 is: 3,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.72 : 5,009.70 = 2,509.92 : x
  2. Step 2: Convert to fraction form
    3,630.72/5,009.70 = 2,509.92/x
  3. Step 3: Cross multiply
    3,630.72x = 5,009.70 × 2,509.92
  4. Step 4: Simplify right side
    3,630.72x = 12,573,946.22
  5. Step 5: Solve for x
    x = 12,573,946.22/3,630.72
  6. Step 6: Final answer
    x = 3,463.21

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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.