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Finding the Fourth Proportional to 3,773.84, 5,663 and 1,582.40

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Solution

The fourth proportional to 3,773.84, 5,663 and 1,582.40 is: 2,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.84 : 5,663 = 1,582.40 : x
  2. Step 2: Convert to fraction form
    3,773.84/5,663 = 1,582.40/x
  3. Step 3: Cross multiply
    3,773.84x = 5,663 × 1,582.40
  4. Step 4: Simplify right side
    3,773.84x = 8,961,131.20
  5. Step 5: Solve for x
    x = 8,961,131.20/3,773.84
  6. Step 6: Final answer
    x = 2,374.54

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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.