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Finding the Fourth Proportional to 5,012.16, 7,516.08 and 1,932

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Solution

The fourth proportional to 5,012.16, 7,516.08 and 1,932 is: 2,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.16 : 7,516.08 = 1,932 : x
  2. Step 2: Convert to fraction form
    5,012.16/7,516.08 = 1,932/x
  3. Step 3: Cross multiply
    5,012.16x = 7,516.08 × 1,932
  4. Step 4: Simplify right side
    5,012.16x = 14,521,066.56
  5. Step 5: Solve for x
    x = 14,521,066.56/5,012.16
  6. Step 6: Final answer
    x = 2,897.17

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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.