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Finding the Fourth Proportional to 3,430.66, 5,140.52 and 2,197.05

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Solution

The fourth proportional to 3,430.66, 5,140.52 and 2,197.05 is: 3,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.66 : 5,140.52 = 2,197.05 : x
  2. Step 2: Convert to fraction form
    3,430.66/5,140.52 = 2,197.05/x
  3. Step 3: Cross multiply
    3,430.66x = 5,140.52 × 2,197.05
  4. Step 4: Simplify right side
    3,430.66x = 11,293,968.48
  5. Step 5: Solve for x
    x = 11,293,968.48/3,430.66
  6. Step 6: Final answer
    x = 3,292.07

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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.