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Finding the Fourth Proportional to 5,159.16, 7,733.38 and 2,034.92

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Solution

The fourth proportional to 5,159.16, 7,733.38 and 2,034.92 is: 3,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.16 : 7,733.38 = 2,034.92 : x
  2. Step 2: Convert to fraction form
    5,159.16/7,733.38 = 2,034.92/x
  3. Step 3: Cross multiply
    5,159.16x = 7,733.38 × 2,034.92
  4. Step 4: Simplify right side
    5,159.16x = 15,736,809.63
  5. Step 5: Solve for x
    x = 15,736,809.63/5,159.16
  6. Step 6: Final answer
    x = 3,050.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.