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Finding the Fourth Proportional to 4,875.69, 7,311.10 and 2,242.38

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Solution

The fourth proportional to 4,875.69, 7,311.10 and 2,242.38 is: 3,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.69 : 7,311.10 = 2,242.38 : x
  2. Step 2: Convert to fraction form
    4,875.69/7,311.10 = 2,242.38/x
  3. Step 3: Cross multiply
    4,875.69x = 7,311.10 × 2,242.38
  4. Step 4: Simplify right side
    4,875.69x = 16,394,264.42
  5. Step 5: Solve for x
    x = 16,394,264.42/4,875.69
  6. Step 6: Final answer
    x = 3,362.45

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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.