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Finding the Fourth Proportional to 5,693.50, 8,541.51 and 2,409.40

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Solution

The fourth proportional to 5,693.50, 8,541.51 and 2,409.40 is: 3,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.50 : 8,541.51 = 2,409.40 : x
  2. Step 2: Convert to fraction form
    5,693.50/8,541.51 = 2,409.40/x
  3. Step 3: Cross multiply
    5,693.50x = 8,541.51 × 2,409.40
  4. Step 4: Simplify right side
    5,693.50x = 20,579,914.19
  5. Step 5: Solve for x
    x = 20,579,914.19/5,693.50
  6. Step 6: Final answer
    x = 3,614.63

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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.