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Finding the Fourth Proportional to 3,838.14, 5,297.13 and 2,345.76

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Solution

The fourth proportional to 3,838.14, 5,297.13 and 2,345.76 is: 3,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.14 : 5,297.13 = 2,345.76 : x
  2. Step 2: Convert to fraction form
    3,838.14/5,297.13 = 2,345.76/x
  3. Step 3: Cross multiply
    3,838.14x = 5,297.13 × 2,345.76
  4. Step 4: Simplify right side
    3,838.14x = 12,425,795.67
  5. Step 5: Solve for x
    x = 12,425,795.67/3,838.14
  6. Step 6: Final answer
    x = 3,237.45

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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.