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Finding the Fourth Proportional to 3,482.16, 5,224.99 and 1,291.11

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Solution

The fourth proportional to 3,482.16, 5,224.99 and 1,291.11 is: 1,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.16 : 5,224.99 = 1,291.11 : x
  2. Step 2: Convert to fraction form
    3,482.16/5,224.99 = 1,291.11/x
  3. Step 3: Cross multiply
    3,482.16x = 5,224.99 × 1,291.11
  4. Step 4: Simplify right side
    3,482.16x = 6,746,036.84
  5. Step 5: Solve for x
    x = 6,746,036.84/3,482.16
  6. Step 6: Final answer
    x = 1,937.31

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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.