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Finding the Fourth Proportional to 4,648.42, 6,971.86 and 1,726.04

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Solution

The fourth proportional to 4,648.42, 6,971.86 and 1,726.04 is: 2,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.42 : 6,971.86 = 1,726.04 : x
  2. Step 2: Convert to fraction form
    4,648.42/6,971.86 = 1,726.04/x
  3. Step 3: Cross multiply
    4,648.42x = 6,971.86 × 1,726.04
  4. Step 4: Simplify right side
    4,648.42x = 12,033,709.23
  5. Step 5: Solve for x
    x = 12,033,709.23/4,648.42
  6. Step 6: Final answer
    x = 2,588.77

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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.