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Finding the Fourth Proportional to 3,389.11, 5,083.15 and 924.13

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Solution

The fourth proportional to 3,389.11, 5,083.15 and 924.13 is: 1,386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.11 : 5,083.15 = 924.13 : x
  2. Step 2: Convert to fraction form
    3,389.11/5,083.15 = 924.13/x
  3. Step 3: Cross multiply
    3,389.11x = 5,083.15 × 924.13
  4. Step 4: Simplify right side
    3,389.11x = 4,697,463.68
  5. Step 5: Solve for x
    x = 4,697,463.68/3,389.11
  6. Step 6: Final answer
    x = 1,386.05

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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.