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Finding the Fourth Proportional to 3,625.84, 5,430.60 and 2,216.40

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Solution

The fourth proportional to 3,625.84, 5,430.60 and 2,216.40 is: 3,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.84 : 5,430.60 = 2,216.40 : x
  2. Step 2: Convert to fraction form
    3,625.84/5,430.60 = 2,216.40/x
  3. Step 3: Cross multiply
    3,625.84x = 5,430.60 × 2,216.40
  4. Step 4: Simplify right side
    3,625.84x = 12,036,381.84
  5. Step 5: Solve for x
    x = 12,036,381.84/3,625.84
  6. Step 6: Final answer
    x = 3,319.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.