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Finding the Fourth Proportional to 5,810.63, 8,747.56 and 5,293.95

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Solution

The fourth proportional to 5,810.63, 8,747.56 and 5,293.95 is: 7,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.63 : 8,747.56 = 5,293.95 : x
  2. Step 2: Convert to fraction form
    5,810.63/8,747.56 = 5,293.95/x
  3. Step 3: Cross multiply
    5,810.63x = 8,747.56 × 5,293.95
  4. Step 4: Simplify right side
    5,810.63x = 46,309,089.30
  5. Step 5: Solve for x
    x = 46,309,089.30/5,810.63
  6. Step 6: Final answer
    x = 7,969.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.