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Finding the Fourth Proportional to 4,494.93, 6,742.54 and 2,301.95

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Solution

The fourth proportional to 4,494.93, 6,742.54 and 2,301.95 is: 3,453.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.93 : 6,742.54 = 2,301.95 : x
  2. Step 2: Convert to fraction form
    4,494.93/6,742.54 = 2,301.95/x
  3. Step 3: Cross multiply
    4,494.93x = 6,742.54 × 2,301.95
  4. Step 4: Simplify right side
    4,494.93x = 15,521,009.69
  5. Step 5: Solve for x
    x = 15,521,009.69/4,494.93
  6. Step 6: Final answer
    x = 3,453.01

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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.