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Finding the Fourth Proportional to 4,797.60, 6,622.20 and 2,809.14

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Solution

The fourth proportional to 4,797.60, 6,622.20 and 2,809.14 is: 3,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.60 : 6,622.20 = 2,809.14 : x
  2. Step 2: Convert to fraction form
    4,797.60/6,622.20 = 2,809.14/x
  3. Step 3: Cross multiply
    4,797.60x = 6,622.20 × 2,809.14
  4. Step 4: Simplify right side
    4,797.60x = 18,602,686.91
  5. Step 5: Solve for x
    x = 18,602,686.91/4,797.60
  6. Step 6: Final answer
    x = 3,877.50

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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.