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Finding the Fourth Proportional to 4,734.32, 6,530.62 and 3,408.64

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Solution

The fourth proportional to 4,734.32, 6,530.62 and 3,408.64 is: 4,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.32 : 6,530.62 = 3,408.64 : x
  2. Step 2: Convert to fraction form
    4,734.32/6,530.62 = 3,408.64/x
  3. Step 3: Cross multiply
    4,734.32x = 6,530.62 × 3,408.64
  4. Step 4: Simplify right side
    4,734.32x = 22,260,532.56
  5. Step 5: Solve for x
    x = 22,260,532.56/4,734.32
  6. Step 6: Final answer
    x = 4,701.95

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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.