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Finding the Fourth Proportional to 5,137.67, 7,701.87 and 1,848.45

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Solution

The fourth proportional to 5,137.67, 7,701.87 and 1,848.45 is: 2,771.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.67 : 7,701.87 = 1,848.45 : x
  2. Step 2: Convert to fraction form
    5,137.67/7,701.87 = 1,848.45/x
  3. Step 3: Cross multiply
    5,137.67x = 7,701.87 × 1,848.45
  4. Step 4: Simplify right side
    5,137.67x = 14,236,489.83
  5. Step 5: Solve for x
    x = 14,236,489.83/5,137.67
  6. Step 6: Final answer
    x = 2,771.00

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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.