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Finding the Fourth Proportional to 4,129.93, 5,698.96 and 2,266.93

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Solution

The fourth proportional to 4,129.93, 5,698.96 and 2,266.93 is: 3,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.93 : 5,698.96 = 2,266.93 : x
  2. Step 2: Convert to fraction form
    4,129.93/5,698.96 = 2,266.93/x
  3. Step 3: Cross multiply
    4,129.93x = 5,698.96 × 2,266.93
  4. Step 4: Simplify right side
    4,129.93x = 12,919,143.39
  5. Step 5: Solve for x
    x = 12,919,143.39/4,129.93
  6. Step 6: Final answer
    x = 3,128.17

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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.