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Finding the Fourth Proportional to 4,497.70, 6,207.62 and 2,906.32

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Solution

The fourth proportional to 4,497.70, 6,207.62 and 2,906.32 is: 4,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.70 : 6,207.62 = 2,906.32 : x
  2. Step 2: Convert to fraction form
    4,497.70/6,207.62 = 2,906.32/x
  3. Step 3: Cross multiply
    4,497.70x = 6,207.62 × 2,906.32
  4. Step 4: Simplify right side
    4,497.70x = 18,041,330.16
  5. Step 5: Solve for x
    x = 18,041,330.16/4,497.70
  6. Step 6: Final answer
    x = 4,011.23

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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.