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Finding the Fourth Proportional to 4,298, 6,442.64 and 1,524

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Solution

The fourth proportional to 4,298, 6,442.64 and 1,524 is: 2,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298 : 6,442.64 = 1,524 : x
  2. Step 2: Convert to fraction form
    4,298/6,442.64 = 1,524/x
  3. Step 3: Cross multiply
    4,298x = 6,442.64 × 1,524
  4. Step 4: Simplify right side
    4,298x = 9,818,583.36
  5. Step 5: Solve for x
    x = 9,818,583.36/4,298
  6. Step 6: Final answer
    x = 2,284.45

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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.