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Finding the Fourth Proportional to 6,404.40, 8,838.72 and 4,046.76

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Solution

The fourth proportional to 6,404.40, 8,838.72 and 4,046.76 is: 5,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.40 : 8,838.72 = 4,046.76 : x
  2. Step 2: Convert to fraction form
    6,404.40/8,838.72 = 4,046.76/x
  3. Step 3: Cross multiply
    6,404.40x = 8,838.72 × 4,046.76
  4. Step 4: Simplify right side
    6,404.40x = 35,768,178.55
  5. Step 5: Solve for x
    x = 35,768,178.55/6,404.40
  6. Step 6: Final answer
    x = 5,584.94

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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.