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Finding the Fourth Proportional to 4,506.64, 6,216.57 and 2,712.88

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Solution

The fourth proportional to 4,506.64, 6,216.57 and 2,712.88 is: 3,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.64 : 6,216.57 = 2,712.88 : x
  2. Step 2: Convert to fraction form
    4,506.64/6,216.57 = 2,712.88/x
  3. Step 3: Cross multiply
    4,506.64x = 6,216.57 × 2,712.88
  4. Step 4: Simplify right side
    4,506.64x = 16,864,808.42
  5. Step 5: Solve for x
    x = 16,864,808.42/4,506.64
  6. Step 6: Final answer
    x = 3,742.21

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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.