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Finding the Fourth Proportional to 4,561.65, 6,837.75 and 2,336.40

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Solution

The fourth proportional to 4,561.65, 6,837.75 and 2,336.40 is: 3,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.65 : 6,837.75 = 2,336.40 : x
  2. Step 2: Convert to fraction form
    4,561.65/6,837.75 = 2,336.40/x
  3. Step 3: Cross multiply
    4,561.65x = 6,837.75 × 2,336.40
  4. Step 4: Simplify right side
    4,561.65x = 15,975,719.10
  5. Step 5: Solve for x
    x = 15,975,719.10/4,561.65
  6. Step 6: Final answer
    x = 3,502.18

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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.