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Finding the Fourth Proportional to 3,705.84, 5,558.69 and 932.51

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Solution

The fourth proportional to 3,705.84, 5,558.69 and 932.51 is: 1,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.84 : 5,558.69 = 932.51 : x
  2. Step 2: Convert to fraction form
    3,705.84/5,558.69 = 932.51/x
  3. Step 3: Cross multiply
    3,705.84x = 5,558.69 × 932.51
  4. Step 4: Simplify right side
    3,705.84x = 5,183,550.24
  5. Step 5: Solve for x
    x = 5,183,550.24/3,705.84
  6. Step 6: Final answer
    x = 1,398.75

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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.