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Finding the Fourth Proportional to 5,154.80, 7,109.04 and 4,159.76

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Solution

The fourth proportional to 5,154.80, 7,109.04 and 4,159.76 is: 5,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.80 : 7,109.04 = 4,159.76 : x
  2. Step 2: Convert to fraction form
    5,154.80/7,109.04 = 4,159.76/x
  3. Step 3: Cross multiply
    5,154.80x = 7,109.04 × 4,159.76
  4. Step 4: Simplify right side
    5,154.80x = 29,571,900.23
  5. Step 5: Solve for x
    x = 29,571,900.23/5,154.80
  6. Step 6: Final answer
    x = 5,736.77

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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.