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Finding the Fourth Proportional to 4,884.71, 7,322.21 and 2,802.20

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Solution

The fourth proportional to 4,884.71, 7,322.21 and 2,802.20 is: 4,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.71 : 7,322.21 = 2,802.20 : x
  2. Step 2: Convert to fraction form
    4,884.71/7,322.21 = 2,802.20/x
  3. Step 3: Cross multiply
    4,884.71x = 7,322.21 × 2,802.20
  4. Step 4: Simplify right side
    4,884.71x = 20,518,311.66
  5. Step 5: Solve for x
    x = 20,518,311.66/4,884.71
  6. Step 6: Final answer
    x = 4,200.52

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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.