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Finding the Fourth Proportional to 4,210.95, 5,809.24 and 2,951.55

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Solution

The fourth proportional to 4,210.95, 5,809.24 and 2,951.55 is: 4,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.95 : 5,809.24 = 2,951.55 : x
  2. Step 2: Convert to fraction form
    4,210.95/5,809.24 = 2,951.55/x
  3. Step 3: Cross multiply
    4,210.95x = 5,809.24 × 2,951.55
  4. Step 4: Simplify right side
    4,210.95x = 17,146,262.32
  5. Step 5: Solve for x
    x = 17,146,262.32/4,210.95
  6. Step 6: Final answer
    x = 4,071.83

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