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Finding the Fourth Proportional to 3,346.41, 4,607.74 and 2,972.74

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Solution

The fourth proportional to 3,346.41, 4,607.74 and 2,972.74 is: 4,093.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.41 : 4,607.74 = 2,972.74 : x
  2. Step 2: Convert to fraction form
    3,346.41/4,607.74 = 2,972.74/x
  3. Step 3: Cross multiply
    3,346.41x = 4,607.74 × 2,972.74
  4. Step 4: Simplify right side
    3,346.41x = 13,697,620.81
  5. Step 5: Solve for x
    x = 13,697,620.81/3,346.41
  6. Step 6: Final answer
    x = 4,093.23

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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.