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Finding the Fourth Proportional to 4,690.72, 7,032.84 and 2,056.96

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Solution

The fourth proportional to 4,690.72, 7,032.84 and 2,056.96 is: 3,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.72 : 7,032.84 = 2,056.96 : x
  2. Step 2: Convert to fraction form
    4,690.72/7,032.84 = 2,056.96/x
  3. Step 3: Cross multiply
    4,690.72x = 7,032.84 × 2,056.96
  4. Step 4: Simplify right side
    4,690.72x = 14,466,270.57
  5. Step 5: Solve for x
    x = 14,466,270.57/4,690.72
  6. Step 6: Final answer
    x = 3,084.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.