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Finding the Fourth Proportional to 4,998, 7,497.12 and 1,535.52

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Solution

The fourth proportional to 4,998, 7,497.12 and 1,535.52 is: 2,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998 : 7,497.12 = 1,535.52 : x
  2. Step 2: Convert to fraction form
    4,998/7,497.12 = 1,535.52/x
  3. Step 3: Cross multiply
    4,998x = 7,497.12 × 1,535.52
  4. Step 4: Simplify right side
    4,998x = 11,511,977.70
  5. Step 5: Solve for x
    x = 11,511,977.70/4,998
  6. Step 6: Final answer
    x = 2,303.32

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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.