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Finding the Fourth Proportional to 4,614.91, 6,918.05 and 2,558.59

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Solution

The fourth proportional to 4,614.91, 6,918.05 and 2,558.59 is: 3,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.91 : 6,918.05 = 2,558.59 : x
  2. Step 2: Convert to fraction form
    4,614.91/6,918.05 = 2,558.59/x
  3. Step 3: Cross multiply
    4,614.91x = 6,918.05 × 2,558.59
  4. Step 4: Simplify right side
    4,614.91x = 17,700,440.76
  5. Step 5: Solve for x
    x = 17,700,440.76/4,614.91
  6. Step 6: Final answer
    x = 3,835.49

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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.