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Finding the Fourth Proportional to 6,465.58, 8,919.48 and 4,074.46

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Solution

The fourth proportional to 6,465.58, 8,919.48 and 4,074.46 is: 5,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.58 : 8,919.48 = 4,074.46 : x
  2. Step 2: Convert to fraction form
    6,465.58/8,919.48 = 4,074.46/x
  3. Step 3: Cross multiply
    6,465.58x = 8,919.48 × 4,074.46
  4. Step 4: Simplify right side
    6,465.58x = 36,342,057.46
  5. Step 5: Solve for x
    x = 36,342,057.46/6,465.58
  6. Step 6: Final answer
    x = 5,620.85

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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.