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Finding the Fourth Proportional to 4,166.73, 5,746.88 and 2,907.38

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Solution

The fourth proportional to 4,166.73, 5,746.88 and 2,907.38 is: 4,009.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.73 : 5,746.88 = 2,907.38 : x
  2. Step 2: Convert to fraction form
    4,166.73/5,746.88 = 2,907.38/x
  3. Step 3: Cross multiply
    4,166.73x = 5,746.88 × 2,907.38
  4. Step 4: Simplify right side
    4,166.73x = 16,708,385.61
  5. Step 5: Solve for x
    x = 16,708,385.61/4,166.73
  6. Step 6: Final answer
    x = 4,009.95

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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.