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Finding the Fourth Proportional to 3,898.74, 5,841.51 and 2,356.50

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Solution

The fourth proportional to 3,898.74, 5,841.51 and 2,356.50 is: 3,530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.74 : 5,841.51 = 2,356.50 : x
  2. Step 2: Convert to fraction form
    3,898.74/5,841.51 = 2,356.50/x
  3. Step 3: Cross multiply
    3,898.74x = 5,841.51 × 2,356.50
  4. Step 4: Simplify right side
    3,898.74x = 13,765,518.32
  5. Step 5: Solve for x
    x = 13,765,518.32/3,898.74
  6. Step 6: Final answer
    x = 3,530.76

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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.