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Finding the Fourth Proportional to 4,802.78, 7,203.55 and 1,516.20

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Solution

The fourth proportional to 4,802.78, 7,203.55 and 1,516.20 is: 2,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.78 : 7,203.55 = 1,516.20 : x
  2. Step 2: Convert to fraction form
    4,802.78/7,203.55 = 1,516.20/x
  3. Step 3: Cross multiply
    4,802.78x = 7,203.55 × 1,516.20
  4. Step 4: Simplify right side
    4,802.78x = 10,922,022.51
  5. Step 5: Solve for x
    x = 10,922,022.51/4,802.78
  6. Step 6: Final answer
    x = 2,274.10

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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.