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Finding the Fourth Proportional to 3,543.32, 5,338.62 and 3,210.19

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Solution

The fourth proportional to 3,543.32, 5,338.62 and 3,210.19 is: 4,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.32 : 5,338.62 = 3,210.19 : x
  2. Step 2: Convert to fraction form
    3,543.32/5,338.62 = 3,210.19/x
  3. Step 3: Cross multiply
    3,543.32x = 5,338.62 × 3,210.19
  4. Step 4: Simplify right side
    3,543.32x = 17,137,957.84
  5. Step 5: Solve for x
    x = 17,137,957.84/3,543.32
  6. Step 6: Final answer
    x = 4,836.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.