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Finding the Fourth Proportional to 5,836.34, 8,797.64 and 5,497.76

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Solution

The fourth proportional to 5,836.34, 8,797.64 and 5,497.76 is: 8,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.34 : 8,797.64 = 5,497.76 : x
  2. Step 2: Convert to fraction form
    5,836.34/8,797.64 = 5,497.76/x
  3. Step 3: Cross multiply
    5,836.34x = 8,797.64 × 5,497.76
  4. Step 4: Simplify right side
    5,836.34x = 48,367,307.79
  5. Step 5: Solve for x
    x = 48,367,307.79/5,836.34
  6. Step 6: Final answer
    x = 8,287.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.