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Finding the Fourth Proportional to 5,070.39, 7,606.19 and 1,949.67

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Solution

The fourth proportional to 5,070.39, 7,606.19 and 1,949.67 is: 2,924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.39 : 7,606.19 = 1,949.67 : x
  2. Step 2: Convert to fraction form
    5,070.39/7,606.19 = 1,949.67/x
  3. Step 3: Cross multiply
    5,070.39x = 7,606.19 × 1,949.67
  4. Step 4: Simplify right side
    5,070.39x = 14,829,565.33
  5. Step 5: Solve for x
    x = 14,829,565.33/5,070.39
  6. Step 6: Final answer
    x = 2,924.74

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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.