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Finding the Fourth Proportional to 4,594.52, 6,891.75 and 1,307.61

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Solution

The fourth proportional to 4,594.52, 6,891.75 and 1,307.61 is: 1,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.52 : 6,891.75 = 1,307.61 : x
  2. Step 2: Convert to fraction form
    4,594.52/6,891.75 = 1,307.61/x
  3. Step 3: Cross multiply
    4,594.52x = 6,891.75 × 1,307.61
  4. Step 4: Simplify right side
    4,594.52x = 9,011,721.22
  5. Step 5: Solve for x
    x = 9,011,721.22/4,594.52
  6. Step 6: Final answer
    x = 1,961.41

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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.