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Finding the Fourth Proportional to 4,156.69, 6,235.04 and 1,235.02

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Solution

The fourth proportional to 4,156.69, 6,235.04 and 1,235.02 is: 1,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.69 : 6,235.04 = 1,235.02 : x
  2. Step 2: Convert to fraction form
    4,156.69/6,235.04 = 1,235.02/x
  3. Step 3: Cross multiply
    4,156.69x = 6,235.04 × 1,235.02
  4. Step 4: Simplify right side
    4,156.69x = 7,700,399.10
  5. Step 5: Solve for x
    x = 7,700,399.10/4,156.69
  6. Step 6: Final answer
    x = 1,852.53

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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.