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Finding the Fourth Proportional to 3,430.57, 5,145.74 and 1,349.07

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Solution

The fourth proportional to 3,430.57, 5,145.74 and 1,349.07 is: 2,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.57 : 5,145.74 = 1,349.07 : x
  2. Step 2: Convert to fraction form
    3,430.57/5,145.74 = 1,349.07/x
  3. Step 3: Cross multiply
    3,430.57x = 5,145.74 × 1,349.07
  4. Step 4: Simplify right side
    3,430.57x = 6,941,966.83
  5. Step 5: Solve for x
    x = 6,941,966.83/3,430.57
  6. Step 6: Final answer
    x = 2,023.56

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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.