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Finding the Fourth Proportional to 3,495.69, 5,244.01 and 1,154.93

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Solution

The fourth proportional to 3,495.69, 5,244.01 and 1,154.93 is: 1,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.69 : 5,244.01 = 1,154.93 : x
  2. Step 2: Convert to fraction form
    3,495.69/5,244.01 = 1,154.93/x
  3. Step 3: Cross multiply
    3,495.69x = 5,244.01 × 1,154.93
  4. Step 4: Simplify right side
    3,495.69x = 6,056,435.36
  5. Step 5: Solve for x
    x = 6,056,435.36/3,495.69
  6. Step 6: Final answer
    x = 1,732.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.