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Finding the Fourth Proportional to 3,091.84, 4,642.56 and 2,364.16

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Solution

The fourth proportional to 3,091.84, 4,642.56 and 2,364.16 is: 3,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.84 : 4,642.56 = 2,364.16 : x
  2. Step 2: Convert to fraction form
    3,091.84/4,642.56 = 2,364.16/x
  3. Step 3: Cross multiply
    3,091.84x = 4,642.56 × 2,364.16
  4. Step 4: Simplify right side
    3,091.84x = 10,975,754.65
  5. Step 5: Solve for x
    x = 10,975,754.65/3,091.84
  6. Step 6: Final answer
    x = 3,549.91

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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.