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Finding the Fourth Proportional to 3,284.65, 4,532.70 and 1,868.32

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Solution

The fourth proportional to 3,284.65, 4,532.70 and 1,868.32 is: 2,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.65 : 4,532.70 = 1,868.32 : x
  2. Step 2: Convert to fraction form
    3,284.65/4,532.70 = 1,868.32/x
  3. Step 3: Cross multiply
    3,284.65x = 4,532.70 × 1,868.32
  4. Step 4: Simplify right side
    3,284.65x = 8,468,534.06
  5. Step 5: Solve for x
    x = 8,468,534.06/3,284.65
  6. Step 6: Final answer
    x = 2,578.22

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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.