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Finding the Fourth Proportional to 5,827.49, 8,744.27 and 2,316.74

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Solution

The fourth proportional to 5,827.49, 8,744.27 and 2,316.74 is: 3,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.49 : 8,744.27 = 2,316.74 : x
  2. Step 2: Convert to fraction form
    5,827.49/8,744.27 = 2,316.74/x
  3. Step 3: Cross multiply
    5,827.49x = 8,744.27 × 2,316.74
  4. Step 4: Simplify right side
    5,827.49x = 20,258,210.36
  5. Step 5: Solve for x
    x = 20,258,210.36/5,827.49
  6. Step 6: Final answer
    x = 3,476.32

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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.