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Finding the Fourth Proportional to 5,166.47, 7,091.71 and 4,594.46

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Solution

The fourth proportional to 5,166.47, 7,091.71 and 4,594.46 is: 6,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.47 : 7,091.71 = 4,594.46 : x
  2. Step 2: Convert to fraction form
    5,166.47/7,091.71 = 4,594.46/x
  3. Step 3: Cross multiply
    5,166.47x = 7,091.71 × 4,594.46
  4. Step 4: Simplify right side
    5,166.47x = 32,582,577.93
  5. Step 5: Solve for x
    x = 32,582,577.93/5,166.47
  6. Step 6: Final answer
    x = 6,306.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.