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Finding the Fourth Proportional to 4,493.51, 6,740.06 and 1,721.48

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Solution

The fourth proportional to 4,493.51, 6,740.06 and 1,721.48 is: 2,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.51 : 6,740.06 = 1,721.48 : x
  2. Step 2: Convert to fraction form
    4,493.51/6,740.06 = 1,721.48/x
  3. Step 3: Cross multiply
    4,493.51x = 6,740.06 × 1,721.48
  4. Step 4: Simplify right side
    4,493.51x = 11,602,886.73
  5. Step 5: Solve for x
    x = 11,602,886.73/4,493.51
  6. Step 6: Final answer
    x = 2,582.15

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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.