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Finding the Fourth Proportional to 5,245.84, 7,206.86 and 4,693.62

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Solution

The fourth proportional to 5,245.84, 7,206.86 and 4,693.62 is: 6,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.84 : 7,206.86 = 4,693.62 : x
  2. Step 2: Convert to fraction form
    5,245.84/7,206.86 = 4,693.62/x
  3. Step 3: Cross multiply
    5,245.84x = 7,206.86 × 4,693.62
  4. Step 4: Simplify right side
    5,245.84x = 33,826,262.23
  5. Step 5: Solve for x
    x = 33,826,262.23/5,245.84
  6. Step 6: Final answer
    x = 6,448.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.