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Finding the Fourth Proportional to 3,389.96, 5,084.89 and 924.83

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Solution

The fourth proportional to 3,389.96, 5,084.89 and 924.83 is: 1,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.96 : 5,084.89 = 924.83 : x
  2. Step 2: Convert to fraction form
    3,389.96/5,084.89 = 924.83/x
  3. Step 3: Cross multiply
    3,389.96x = 5,084.89 × 924.83
  4. Step 4: Simplify right side
    3,389.96x = 4,702,631.08
  5. Step 5: Solve for x
    x = 4,702,631.08/3,389.96
  6. Step 6: Final answer
    x = 1,387.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.