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Finding the Fourth Proportional to 3,465.20, 5,208.60 and 3,400.40

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Solution

The fourth proportional to 3,465.20, 5,208.60 and 3,400.40 is: 5,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.20 : 5,208.60 = 3,400.40 : x
  2. Step 2: Convert to fraction form
    3,465.20/5,208.60 = 3,400.40/x
  3. Step 3: Cross multiply
    3,465.20x = 5,208.60 × 3,400.40
  4. Step 4: Simplify right side
    3,465.20x = 17,711,323.44
  5. Step 5: Solve for x
    x = 17,711,323.44/3,465.20
  6. Step 6: Final answer
    x = 5,111.20

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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.