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Finding the Fourth Proportional to 4,311.07, 6,467.10 and 1,538.13

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Solution

The fourth proportional to 4,311.07, 6,467.10 and 1,538.13 is: 2,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.07 : 6,467.10 = 1,538.13 : x
  2. Step 2: Convert to fraction form
    4,311.07/6,467.10 = 1,538.13/x
  3. Step 3: Cross multiply
    4,311.07x = 6,467.10 × 1,538.13
  4. Step 4: Simplify right side
    4,311.07x = 9,947,240.52
  5. Step 5: Solve for x
    x = 9,947,240.52/4,311.07
  6. Step 6: Final answer
    x = 2,307.37

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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.