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Finding the Fourth Proportional to 5,182.59, 7,775.10 and 2,062.77

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Solution

The fourth proportional to 5,182.59, 7,775.10 and 2,062.77 is: 3,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.59 : 7,775.10 = 2,062.77 : x
  2. Step 2: Convert to fraction form
    5,182.59/7,775.10 = 2,062.77/x
  3. Step 3: Cross multiply
    5,182.59x = 7,775.10 × 2,062.77
  4. Step 4: Simplify right side
    5,182.59x = 16,038,243.03
  5. Step 5: Solve for x
    x = 16,038,243.03/5,182.59
  6. Step 6: Final answer
    x = 3,094.64

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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.