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Finding the Fourth Proportional to 4,672.32, 7,007 and 1,551.64

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Solution

The fourth proportional to 4,672.32, 7,007 and 1,551.64 is: 2,326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.32 : 7,007 = 1,551.64 : x
  2. Step 2: Convert to fraction form
    4,672.32/7,007 = 1,551.64/x
  3. Step 3: Cross multiply
    4,672.32x = 7,007 × 1,551.64
  4. Step 4: Simplify right side
    4,672.32x = 10,872,341.48
  5. Step 5: Solve for x
    x = 10,872,341.48/4,672.32
  6. Step 6: Final answer
    x = 2,326.97

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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.