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Finding the Fourth Proportional to 5,164.77, 7,747.14 and 1,877.85

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Solution

The fourth proportional to 5,164.77, 7,747.14 and 1,877.85 is: 2,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.77 : 7,747.14 = 1,877.85 : x
  2. Step 2: Convert to fraction form
    5,164.77/7,747.14 = 1,877.85/x
  3. Step 3: Cross multiply
    5,164.77x = 7,747.14 × 1,877.85
  4. Step 4: Simplify right side
    5,164.77x = 14,547,966.85
  5. Step 5: Solve for x
    x = 14,547,966.85/5,164.77
  6. Step 6: Final answer
    x = 2,816.77

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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.