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Finding the Fourth Proportional to 4,697.28, 6,511.91 and 4,447.60

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Solution

The fourth proportional to 4,697.28, 6,511.91 and 4,447.60 is: 6,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.28 : 6,511.91 = 4,447.60 : x
  2. Step 2: Convert to fraction form
    4,697.28/6,511.91 = 4,447.60/x
  3. Step 3: Cross multiply
    4,697.28x = 6,511.91 × 4,447.60
  4. Step 4: Simplify right side
    4,697.28x = 28,962,332.40
  5. Step 5: Solve for x
    x = 28,962,332.40/4,697.28
  6. Step 6: Final answer
    x = 6,165.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.