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Finding the Fourth Proportional to 4,809.60, 6,638.12 and 3,822.40

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Solution

The fourth proportional to 4,809.60, 6,638.12 and 3,822.40 is: 5,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.60 : 6,638.12 = 3,822.40 : x
  2. Step 2: Convert to fraction form
    4,809.60/6,638.12 = 3,822.40/x
  3. Step 3: Cross multiply
    4,809.60x = 6,638.12 × 3,822.40
  4. Step 4: Simplify right side
    4,809.60x = 25,373,549.89
  5. Step 5: Solve for x
    x = 25,373,549.89/4,809.60
  6. Step 6: Final answer
    x = 5,275.61

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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.