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Finding the Fourth Proportional to 3,482.35, 5,223.57 and 1,291.08

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Solution

The fourth proportional to 3,482.35, 5,223.57 and 1,291.08 is: 1,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.35 : 5,223.57 = 1,291.08 : x
  2. Step 2: Convert to fraction form
    3,482.35/5,223.57 = 1,291.08/x
  3. Step 3: Cross multiply
    3,482.35x = 5,223.57 × 1,291.08
  4. Step 4: Simplify right side
    3,482.35x = 6,744,039.38
  5. Step 5: Solve for x
    x = 6,744,039.38/3,482.35
  6. Step 6: Final answer
    x = 1,936.64

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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.