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Finding the Fourth Proportional to 4,993.08, 7,489.98 and 1,530.42

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Solution

The fourth proportional to 4,993.08, 7,489.98 and 1,530.42 is: 2,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.08 : 7,489.98 = 1,530.42 : x
  2. Step 2: Convert to fraction form
    4,993.08/7,489.98 = 1,530.42/x
  3. Step 3: Cross multiply
    4,993.08x = 7,489.98 × 1,530.42
  4. Step 4: Simplify right side
    4,993.08x = 11,462,815.19
  5. Step 5: Solve for x
    x = 11,462,815.19/4,993.08
  6. Step 6: Final answer
    x = 2,295.74

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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.