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Finding the Fourth Proportional to 4,700.26, 7,044.89 and 2,359

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Solution

The fourth proportional to 4,700.26, 7,044.89 and 2,359 is: 3,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.26 : 7,044.89 = 2,359 : x
  2. Step 2: Convert to fraction form
    4,700.26/7,044.89 = 2,359/x
  3. Step 3: Cross multiply
    4,700.26x = 7,044.89 × 2,359
  4. Step 4: Simplify right side
    4,700.26x = 16,618,895.51
  5. Step 5: Solve for x
    x = 16,618,895.51/4,700.26
  6. Step 6: Final answer
    x = 3,535.74

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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.