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Finding the Fourth Proportional to 3,430.78, 5,146.89 and 1,090.47

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Solution

The fourth proportional to 3,430.78, 5,146.89 and 1,090.47 is: 1,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.78 : 5,146.89 = 1,090.47 : x
  2. Step 2: Convert to fraction form
    3,430.78/5,146.89 = 1,090.47/x
  3. Step 3: Cross multiply
    3,430.78x = 5,146.89 × 1,090.47
  4. Step 4: Simplify right side
    3,430.78x = 5,612,529.14
  5. Step 5: Solve for x
    x = 5,612,529.14/3,430.78
  6. Step 6: Final answer
    x = 1,635.93

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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.