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Finding the Fourth Proportional to 4,675.92, 6,444.59 and 4,160.63

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Solution

The fourth proportional to 4,675.92, 6,444.59 and 4,160.63 is: 5,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.92 : 6,444.59 = 4,160.63 : x
  2. Step 2: Convert to fraction form
    4,675.92/6,444.59 = 4,160.63/x
  3. Step 3: Cross multiply
    4,675.92x = 6,444.59 × 4,160.63
  4. Step 4: Simplify right side
    4,675.92x = 26,813,501.47
  5. Step 5: Solve for x
    x = 26,813,501.47/4,675.92
  6. Step 6: Final answer
    x = 5,734.38

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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.