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Finding the Fourth Proportional to 4,691.84, 7,041.09 and 3,462.45

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Solution

The fourth proportional to 4,691.84, 7,041.09 and 3,462.45 is: 5,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.84 : 7,041.09 = 3,462.45 : x
  2. Step 2: Convert to fraction form
    4,691.84/7,041.09 = 3,462.45/x
  3. Step 3: Cross multiply
    4,691.84x = 7,041.09 × 3,462.45
  4. Step 4: Simplify right side
    4,691.84x = 24,379,422.07
  5. Step 5: Solve for x
    x = 24,379,422.07/4,691.84
  6. Step 6: Final answer
    x = 5,196.14

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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.