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Finding the Fourth Proportional to 4,564.98, 6,847.47 and 1,641.69

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Solution

The fourth proportional to 4,564.98, 6,847.47 and 1,641.69 is: 2,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.98 : 6,847.47 = 1,641.69 : x
  2. Step 2: Convert to fraction form
    4,564.98/6,847.47 = 1,641.69/x
  3. Step 3: Cross multiply
    4,564.98x = 6,847.47 × 1,641.69
  4. Step 4: Simplify right side
    4,564.98x = 11,241,423.02
  5. Step 5: Solve for x
    x = 11,241,423.02/4,564.98
  6. Step 6: Final answer
    x = 2,462.54

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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.