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Finding the Fourth Proportional to 4,073.84, 5,622.98 and 2,582.48

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Solution

The fourth proportional to 4,073.84, 5,622.98 and 2,582.48 is: 3,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.84 : 5,622.98 = 2,582.48 : x
  2. Step 2: Convert to fraction form
    4,073.84/5,622.98 = 2,582.48/x
  3. Step 3: Cross multiply
    4,073.84x = 5,622.98 × 2,582.48
  4. Step 4: Simplify right side
    4,073.84x = 14,521,233.39
  5. Step 5: Solve for x
    x = 14,521,233.39/4,073.84
  6. Step 6: Final answer
    x = 3,564.51

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