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Finding the Fourth Proportional to 5,813.76, 8,721.15 and 1,865.42

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Solution

The fourth proportional to 5,813.76, 8,721.15 and 1,865.42 is: 2,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.76 : 8,721.15 = 1,865.42 : x
  2. Step 2: Convert to fraction form
    5,813.76/8,721.15 = 1,865.42/x
  3. Step 3: Cross multiply
    5,813.76x = 8,721.15 × 1,865.42
  4. Step 4: Simplify right side
    5,813.76x = 16,268,607.63
  5. Step 5: Solve for x
    x = 16,268,607.63/5,813.76
  6. Step 6: Final answer
    x = 2,798.29

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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.