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Finding the Fourth Proportional to 4,701.64, 6,487.62 and 2,812.68

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Solution

The fourth proportional to 4,701.64, 6,487.62 and 2,812.68 is: 3,881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.64 : 6,487.62 = 2,812.68 : x
  2. Step 2: Convert to fraction form
    4,701.64/6,487.62 = 2,812.68/x
  3. Step 3: Cross multiply
    4,701.64x = 6,487.62 × 2,812.68
  4. Step 4: Simplify right side
    4,701.64x = 18,247,599.02
  5. Step 5: Solve for x
    x = 18,247,599.02/4,701.64
  6. Step 6: Final answer
    x = 3,881.11

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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.