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Finding the Fourth Proportional to 5,004.16, 7,504.08 and 1,924

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Solution

The fourth proportional to 5,004.16, 7,504.08 and 1,924 is: 2,885.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.16 : 7,504.08 = 1,924 : x
  2. Step 2: Convert to fraction form
    5,004.16/7,504.08 = 1,924/x
  3. Step 3: Cross multiply
    5,004.16x = 7,504.08 × 1,924
  4. Step 4: Simplify right side
    5,004.16x = 14,437,849.92
  5. Step 5: Solve for x
    x = 14,437,849.92/5,004.16
  6. Step 6: Final answer
    x = 2,885.17

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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.