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Finding the Fourth Proportional to 3,495.93, 5,242.65 and 1,155.50

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Solution

The fourth proportional to 3,495.93, 5,242.65 and 1,155.50 is: 1,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.93 : 5,242.65 = 1,155.50 : x
  2. Step 2: Convert to fraction form
    3,495.93/5,242.65 = 1,155.50/x
  3. Step 3: Cross multiply
    3,495.93x = 5,242.65 × 1,155.50
  4. Step 4: Simplify right side
    3,495.93x = 6,057,890.85
  5. Step 5: Solve for x
    x = 6,057,890.85/3,495.93
  6. Step 6: Final answer
    x = 1,732.84

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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.