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Finding the Fourth Proportional to 5,294.36, 7,306.64 and 2,937.26

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Solution

The fourth proportional to 5,294.36, 7,306.64 and 2,937.26 is: 4,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.36 : 7,306.64 = 2,937.26 : x
  2. Step 2: Convert to fraction form
    5,294.36/7,306.64 = 2,937.26/x
  3. Step 3: Cross multiply
    5,294.36x = 7,306.64 × 2,937.26
  4. Step 4: Simplify right side
    5,294.36x = 21,461,501.41
  5. Step 5: Solve for x
    x = 21,461,501.41/5,294.36
  6. Step 6: Final answer
    x = 4,053.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.