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Finding the Fourth Proportional to 5,336.74, 8,005.14 and 1,873.96

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Solution

The fourth proportional to 5,336.74, 8,005.14 and 1,873.96 is: 2,810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.74 : 8,005.14 = 1,873.96 : x
  2. Step 2: Convert to fraction form
    5,336.74/8,005.14 = 1,873.96/x
  3. Step 3: Cross multiply
    5,336.74x = 8,005.14 × 1,873.96
  4. Step 4: Simplify right side
    5,336.74x = 15,001,312.15
  5. Step 5: Solve for x
    x = 15,001,312.15/5,336.74
  6. Step 6: Final answer
    x = 2,810.95

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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.