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Finding the Fourth Proportional to 4,802.31, 7,206.39 and 1,880.64

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Solution

The fourth proportional to 4,802.31, 7,206.39 and 1,880.64 is: 2,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.31 : 7,206.39 = 1,880.64 : x
  2. Step 2: Convert to fraction form
    4,802.31/7,206.39 = 1,880.64/x
  3. Step 3: Cross multiply
    4,802.31x = 7,206.39 × 1,880.64
  4. Step 4: Simplify right side
    4,802.31x = 13,552,625.29
  5. Step 5: Solve for x
    x = 13,552,625.29/4,802.31
  6. Step 6: Final answer
    x = 2,822.11

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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.