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Finding the Fourth Proportional to 3,389.49, 5,084.13 and 924.66

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Solution

The fourth proportional to 3,389.49, 5,084.13 and 924.66 is: 1,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.49 : 5,084.13 = 924.66 : x
  2. Step 2: Convert to fraction form
    3,389.49/5,084.13 = 924.66/x
  3. Step 3: Cross multiply
    3,389.49x = 5,084.13 × 924.66
  4. Step 4: Simplify right side
    3,389.49x = 4,701,091.65
  5. Step 5: Solve for x
    x = 4,701,091.65/3,389.49
  6. Step 6: Final answer
    x = 1,386.96

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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.