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Finding the Fourth Proportional to 3,406.60, 4,698.76 and 3,292.32

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Solution

The fourth proportional to 3,406.60, 4,698.76 and 3,292.32 is: 4,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.60 : 4,698.76 = 3,292.32 : x
  2. Step 2: Convert to fraction form
    3,406.60/4,698.76 = 3,292.32/x
  3. Step 3: Cross multiply
    3,406.60x = 4,698.76 × 3,292.32
  4. Step 4: Simplify right side
    3,406.60x = 15,469,821.52
  5. Step 5: Solve for x
    x = 15,469,821.52/3,406.60
  6. Step 6: Final answer
    x = 4,541.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.