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Finding the Fourth Proportional to 4,679.53, 6,457.17 and 2,583.64

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Solution

The fourth proportional to 4,679.53, 6,457.17 and 2,583.64 is: 3,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.53 : 6,457.17 = 2,583.64 : x
  2. Step 2: Convert to fraction form
    4,679.53/6,457.17 = 2,583.64/x
  3. Step 3: Cross multiply
    4,679.53x = 6,457.17 × 2,583.64
  4. Step 4: Simplify right side
    4,679.53x = 16,683,002.70
  5. Step 5: Solve for x
    x = 16,683,002.70/4,679.53
  6. Step 6: Final answer
    x = 3,565.10

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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.