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Finding the Fourth Proportional to 4,645.07, 6,968.75 and 2,306.17

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Solution

The fourth proportional to 4,645.07, 6,968.75 and 2,306.17 is: 3,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.07 : 6,968.75 = 2,306.17 : x
  2. Step 2: Convert to fraction form
    4,645.07/6,968.75 = 2,306.17/x
  3. Step 3: Cross multiply
    4,645.07x = 6,968.75 × 2,306.17
  4. Step 4: Simplify right side
    4,645.07x = 16,071,093.23
  5. Step 5: Solve for x
    x = 16,071,093.23/4,645.07
  6. Step 6: Final answer
    x = 3,459.82

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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.