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Finding the Fourth Proportional to 4,672.10, 7,008.14 and 1,594.10

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Solution

The fourth proportional to 4,672.10, 7,008.14 and 1,594.10 is: 2,391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.10 : 7,008.14 = 1,594.10 : x
  2. Step 2: Convert to fraction form
    4,672.10/7,008.14 = 1,594.10/x
  3. Step 3: Cross multiply
    4,672.10x = 7,008.14 × 1,594.10
  4. Step 4: Simplify right side
    4,672.10x = 11,171,675.97
  5. Step 5: Solve for x
    x = 11,171,675.97/4,672.10
  6. Step 6: Final answer
    x = 2,391.15

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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.