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Finding the Fourth Proportional to 4,609.53, 6,898.50 and 2,853.86

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Solution

The fourth proportional to 4,609.53, 6,898.50 and 2,853.86 is: 4,271.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.53 : 6,898.50 = 2,853.86 : x
  2. Step 2: Convert to fraction form
    4,609.53/6,898.50 = 2,853.86/x
  3. Step 3: Cross multiply
    4,609.53x = 6,898.50 × 2,853.86
  4. Step 4: Simplify right side
    4,609.53x = 19,687,318.72
  5. Step 5: Solve for x
    x = 19,687,318.72/4,609.53
  6. Step 6: Final answer
    x = 4,271.00

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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.