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Finding the Fourth Proportional to 3,762.92, 5,643.93 and 989.81

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Solution

The fourth proportional to 3,762.92, 5,643.93 and 989.81 is: 1,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.92 : 5,643.93 = 989.81 : x
  2. Step 2: Convert to fraction form
    3,762.92/5,643.93 = 989.81/x
  3. Step 3: Cross multiply
    3,762.92x = 5,643.93 × 989.81
  4. Step 4: Simplify right side
    3,762.92x = 5,586,390.13
  5. Step 5: Solve for x
    x = 5,586,390.13/3,762.92
  6. Step 6: Final answer
    x = 1,484.59

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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.