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Finding the Fourth Proportional to 5,682.48, 7,823.16 and 5,128.44

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Solution

The fourth proportional to 5,682.48, 7,823.16 and 5,128.44 is: 7,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.48 : 7,823.16 = 5,128.44 : x
  2. Step 2: Convert to fraction form
    5,682.48/7,823.16 = 5,128.44/x
  3. Step 3: Cross multiply
    5,682.48x = 7,823.16 × 5,128.44
  4. Step 4: Simplify right side
    5,682.48x = 40,120,606.67
  5. Step 5: Solve for x
    x = 40,120,606.67/5,682.48
  6. Step 6: Final answer
    x = 7,060.40

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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.