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Finding the Fourth Proportional to 4,707.73, 7,062.54 and 1,421.11

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Solution

The fourth proportional to 4,707.73, 7,062.54 and 1,421.11 is: 2,131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.73 : 7,062.54 = 1,421.11 : x
  2. Step 2: Convert to fraction form
    4,707.73/7,062.54 = 1,421.11/x
  3. Step 3: Cross multiply
    4,707.73x = 7,062.54 × 1,421.11
  4. Step 4: Simplify right side
    4,707.73x = 10,036,646.22
  5. Step 5: Solve for x
    x = 10,036,646.22/4,707.73
  6. Step 6: Final answer
    x = 2,131.95

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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.