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Finding the Fourth Proportional to 4,700.49, 7,044.58 and 1,924

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Solution

The fourth proportional to 4,700.49, 7,044.58 and 1,924 is: 2,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.49 : 7,044.58 = 1,924 : x
  2. Step 2: Convert to fraction form
    4,700.49/7,044.58 = 1,924/x
  3. Step 3: Cross multiply
    4,700.49x = 7,044.58 × 1,924
  4. Step 4: Simplify right side
    4,700.49x = 13,553,771.92
  5. Step 5: Solve for x
    x = 13,553,771.92/4,700.49
  6. Step 6: Final answer
    x = 2,883.48

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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.