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Finding the Fourth Proportional to 5,417.76, 8,123.14 and 3,563.26

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Solution

The fourth proportional to 5,417.76, 8,123.14 and 3,563.26 is: 5,342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.76 : 8,123.14 = 3,563.26 : x
  2. Step 2: Convert to fraction form
    5,417.76/8,123.14 = 3,563.26/x
  3. Step 3: Cross multiply
    5,417.76x = 8,123.14 × 3,563.26
  4. Step 4: Simplify right side
    5,417.76x = 28,944,842.02
  5. Step 5: Solve for x
    x = 28,944,842.02/5,417.76
  6. Step 6: Final answer
    x = 5,342.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.