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Finding the Fourth Proportional to 3,407.32, 4,700.46 and 2,964.52

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Solution

The fourth proportional to 3,407.32, 4,700.46 and 2,964.52 is: 4,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.32 : 4,700.46 = 2,964.52 : x
  2. Step 2: Convert to fraction form
    3,407.32/4,700.46 = 2,964.52/x
  3. Step 3: Cross multiply
    3,407.32x = 4,700.46 × 2,964.52
  4. Step 4: Simplify right side
    3,407.32x = 13,934,607.68
  5. Step 5: Solve for x
    x = 13,934,607.68/3,407.32
  6. Step 6: Final answer
    x = 4,089.61

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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.