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Finding the Fourth Proportional to 3,752.63, 5,641.09 and 3,482.09

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Solution

The fourth proportional to 3,752.63, 5,641.09 and 3,482.09 is: 5,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.63 : 5,641.09 = 3,482.09 : x
  2. Step 2: Convert to fraction form
    3,752.63/5,641.09 = 3,482.09/x
  3. Step 3: Cross multiply
    3,752.63x = 5,641.09 × 3,482.09
  4. Step 4: Simplify right side
    3,752.63x = 19,642,746.17
  5. Step 5: Solve for x
    x = 19,642,746.17/3,752.63
  6. Step 6: Final answer
    x = 5,234.40

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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.