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Finding the Fourth Proportional to 5,683.92, 7,827.24 and 5,008.32

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Solution

The fourth proportional to 5,683.92, 7,827.24 and 5,008.32 is: 6,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.92 : 7,827.24 = 5,008.32 : x
  2. Step 2: Convert to fraction form
    5,683.92/7,827.24 = 5,008.32/x
  3. Step 3: Cross multiply
    5,683.92x = 7,827.24 × 5,008.32
  4. Step 4: Simplify right side
    5,683.92x = 39,201,322.64
  5. Step 5: Solve for x
    x = 39,201,322.64/5,683.92
  6. Step 6: Final answer
    x = 6,896.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.