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Finding the Fourth Proportional to 5,659.81, 7,802.00 and 4,462.73

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Solution

The fourth proportional to 5,659.81, 7,802.00 and 4,462.73 is: 6,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.81 : 7,802.00 = 4,462.73 : x
  2. Step 2: Convert to fraction form
    5,659.81/7,802.00 = 4,462.73/x
  3. Step 3: Cross multiply
    5,659.81x = 7,802.00 × 4,462.73
  4. Step 4: Simplify right side
    5,659.81x = 34,818,227.13
  5. Step 5: Solve for x
    x = 34,818,227.13/5,659.81
  6. Step 6: Final answer
    x = 6,151.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.