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Finding the Fourth Proportional to 3,498.09, 4,826.16 and 2,152.32

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Solution

The fourth proportional to 3,498.09, 4,826.16 and 2,152.32 is: 2,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.09 : 4,826.16 = 2,152.32 : x
  2. Step 2: Convert to fraction form
    3,498.09/4,826.16 = 2,152.32/x
  3. Step 3: Cross multiply
    3,498.09x = 4,826.16 × 2,152.32
  4. Step 4: Simplify right side
    3,498.09x = 10,387,440.69
  5. Step 5: Solve for x
    x = 10,387,440.69/3,498.09
  6. Step 6: Final answer
    x = 2,969.46

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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.