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Finding the Fourth Proportional to 5,071.38, 7,610.48 and 1,784.50

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Solution

The fourth proportional to 5,071.38, 7,610.48 and 1,784.50 is: 2,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.38 : 7,610.48 = 1,784.50 : x
  2. Step 2: Convert to fraction form
    5,071.38/7,610.48 = 1,784.50/x
  3. Step 3: Cross multiply
    5,071.38x = 7,610.48 × 1,784.50
  4. Step 4: Simplify right side
    5,071.38x = 13,580,901.56
  5. Step 5: Solve for x
    x = 13,580,901.56/5,071.38
  6. Step 6: Final answer
    x = 2,677.95

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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.