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Finding the Fourth Proportional to 5,714.47, 7,932.21 and 5,576.23

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Solution

The fourth proportional to 5,714.47, 7,932.21 and 5,576.23 is: 7,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.47 : 7,932.21 = 5,576.23 : x
  2. Step 2: Convert to fraction form
    5,714.47/7,932.21 = 5,576.23/x
  3. Step 3: Cross multiply
    5,714.47x = 7,932.21 × 5,576.23
  4. Step 4: Simplify right side
    5,714.47x = 44,231,841.31
  5. Step 5: Solve for x
    x = 44,231,841.31/5,714.47
  6. Step 6: Final answer
    x = 7,740.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.