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Finding the Fourth Proportional to 3,307.68, 4,564.80 and 1,910.52

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Solution

The fourth proportional to 3,307.68, 4,564.80 and 1,910.52 is: 2,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.68 : 4,564.80 = 1,910.52 : x
  2. Step 2: Convert to fraction form
    3,307.68/4,564.80 = 1,910.52/x
  3. Step 3: Cross multiply
    3,307.68x = 4,564.80 × 1,910.52
  4. Step 4: Simplify right side
    3,307.68x = 8,721,141.70
  5. Step 5: Solve for x
    x = 8,721,141.70/3,307.68
  6. Step 6: Final answer
    x = 2,636.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.