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Finding the Fourth Proportional to 4,672.68, 7,013.98 and 1,901.16

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Solution

The fourth proportional to 4,672.68, 7,013.98 and 1,901.16 is: 2,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.68 : 7,013.98 = 1,901.16 : x
  2. Step 2: Convert to fraction form
    4,672.68/7,013.98 = 1,901.16/x
  3. Step 3: Cross multiply
    4,672.68x = 7,013.98 × 1,901.16
  4. Step 4: Simplify right side
    4,672.68x = 13,334,698.22
  5. Step 5: Solve for x
    x = 13,334,698.22/4,672.68
  6. Step 6: Final answer
    x = 2,853.76

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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.