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Finding the Fourth Proportional to 4,073.72, 6,111.50 and 1,476.65

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Solution

The fourth proportional to 4,073.72, 6,111.50 and 1,476.65 is: 2,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.72 : 6,111.50 = 1,476.65 : x
  2. Step 2: Convert to fraction form
    4,073.72/6,111.50 = 1,476.65/x
  3. Step 3: Cross multiply
    4,073.72x = 6,111.50 × 1,476.65
  4. Step 4: Simplify right side
    4,073.72x = 9,024,554.37
  5. Step 5: Solve for x
    x = 9,024,554.37/4,073.72
  6. Step 6: Final answer
    x = 2,215.31

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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.