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Finding the Fourth Proportional to 5,129.76, 7,693.52 and 1,381.45

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Solution

The fourth proportional to 5,129.76, 7,693.52 and 1,381.45 is: 2,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.76 : 7,693.52 = 1,381.45 : x
  2. Step 2: Convert to fraction form
    5,129.76/7,693.52 = 1,381.45/x
  3. Step 3: Cross multiply
    5,129.76x = 7,693.52 × 1,381.45
  4. Step 4: Simplify right side
    5,129.76x = 10,628,191.51
  5. Step 5: Solve for x
    x = 10,628,191.51/5,129.76
  6. Step 6: Final answer
    x = 2,071.87

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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.