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Finding the Fourth Proportional to 3,430.60, 5,142.43 and 1,352.07

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Solution

The fourth proportional to 3,430.60, 5,142.43 and 1,352.07 is: 2,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.60 : 5,142.43 = 1,352.07 : x
  2. Step 2: Convert to fraction form
    3,430.60/5,142.43 = 1,352.07/x
  3. Step 3: Cross multiply
    3,430.60x = 5,142.43 × 1,352.07
  4. Step 4: Simplify right side
    3,430.60x = 6,952,925.33
  5. Step 5: Solve for x
    x = 6,952,925.33/3,430.60
  6. Step 6: Final answer
    x = 2,026.74

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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.