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Finding the Fourth Proportional to 4,607.91, 6,911.87 and 1,685.54

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Solution

The fourth proportional to 4,607.91, 6,911.87 and 1,685.54 is: 2,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.91 : 6,911.87 = 1,685.54 : x
  2. Step 2: Convert to fraction form
    4,607.91/6,911.87 = 1,685.54/x
  3. Step 3: Cross multiply
    4,607.91x = 6,911.87 × 1,685.54
  4. Step 4: Simplify right side
    4,607.91x = 11,650,242.21
  5. Step 5: Solve for x
    x = 11,650,242.21/4,607.91
  6. Step 6: Final answer
    x = 2,528.31

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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.