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Finding the Fourth Proportional to 4,564.58, 6,833.72 and 4,089.68

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Solution

The fourth proportional to 4,564.58, 6,833.72 and 4,089.68 is: 6,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.58 : 6,833.72 = 4,089.68 : x
  2. Step 2: Convert to fraction form
    4,564.58/6,833.72 = 4,089.68/x
  3. Step 3: Cross multiply
    4,564.58x = 6,833.72 × 4,089.68
  4. Step 4: Simplify right side
    4,564.58x = 27,947,728.01
  5. Step 5: Solve for x
    x = 27,947,728.01/4,564.58
  6. Step 6: Final answer
    x = 6,122.74

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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.