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Finding the Fourth Proportional to 4,274.32, 6,407.52 and 2,326.72

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Solution

The fourth proportional to 4,274.32, 6,407.52 and 2,326.72 is: 3,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.32 : 6,407.52 = 2,326.72 : x
  2. Step 2: Convert to fraction form
    4,274.32/6,407.52 = 2,326.72/x
  3. Step 3: Cross multiply
    4,274.32x = 6,407.52 × 2,326.72
  4. Step 4: Simplify right side
    4,274.32x = 14,908,504.93
  5. Step 5: Solve for x
    x = 14,908,504.93/4,274.32
  6. Step 6: Final answer
    x = 3,487.92

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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.