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Finding the Fourth Proportional to 4,851.62, 7,278.64 and 1,564.64

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Solution

The fourth proportional to 4,851.62, 7,278.64 and 1,564.64 is: 2,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.62 : 7,278.64 = 1,564.64 : x
  2. Step 2: Convert to fraction form
    4,851.62/7,278.64 = 1,564.64/x
  3. Step 3: Cross multiply
    4,851.62x = 7,278.64 × 1,564.64
  4. Step 4: Simplify right side
    4,851.62x = 11,388,451.29
  5. Step 5: Solve for x
    x = 11,388,451.29/4,851.62
  6. Step 6: Final answer
    x = 2,347.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.