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Finding the Fourth Proportional to 5,542.19, 7,658.23 and 4,213.58

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Solution

The fourth proportional to 5,542.19, 7,658.23 and 4,213.58 is: 5,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.19 : 7,658.23 = 4,213.58 : x
  2. Step 2: Convert to fraction form
    5,542.19/7,658.23 = 4,213.58/x
  3. Step 3: Cross multiply
    5,542.19x = 7,658.23 × 4,213.58
  4. Step 4: Simplify right side
    5,542.19x = 32,268,564.76
  5. Step 5: Solve for x
    x = 32,268,564.76/5,542.19
  6. Step 6: Final answer
    x = 5,822.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.