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Finding the Fourth Proportional to 4,141.04, 6,212.64 and 1,544

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Solution

The fourth proportional to 4,141.04, 6,212.64 and 1,544 is: 2,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.04 : 6,212.64 = 1,544 : x
  2. Step 2: Convert to fraction form
    4,141.04/6,212.64 = 1,544/x
  3. Step 3: Cross multiply
    4,141.04x = 6,212.64 × 1,544
  4. Step 4: Simplify right side
    4,141.04x = 9,592,316.16
  5. Step 5: Solve for x
    x = 9,592,316.16/4,141.04
  6. Step 6: Final answer
    x = 2,316.40

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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.