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Finding the Fourth Proportional to 5,336.42, 7,366.95 and 3,658.50

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Solution

The fourth proportional to 5,336.42, 7,366.95 and 3,658.50 is: 5,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.42 : 7,366.95 = 3,658.50 : x
  2. Step 2: Convert to fraction form
    5,336.42/7,366.95 = 3,658.50/x
  3. Step 3: Cross multiply
    5,336.42x = 7,366.95 × 3,658.50
  4. Step 4: Simplify right side
    5,336.42x = 26,951,986.58
  5. Step 5: Solve for x
    x = 26,951,986.58/5,336.42
  6. Step 6: Final answer
    x = 5,050.58

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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.