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Finding the Fourth Proportional to 5,135.74, 7,701.72 and 1,847.95

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Solution

The fourth proportional to 5,135.74, 7,701.72 and 1,847.95 is: 2,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.74 : 7,701.72 = 1,847.95 : x
  2. Step 2: Convert to fraction form
    5,135.74/7,701.72 = 1,847.95/x
  3. Step 3: Cross multiply
    5,135.74x = 7,701.72 × 1,847.95
  4. Step 4: Simplify right side
    5,135.74x = 14,232,393.47
  5. Step 5: Solve for x
    x = 14,232,393.47/5,135.74
  6. Step 6: Final answer
    x = 2,771.24

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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.