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Finding the Fourth Proportional to 5,794.34, 7,988.36 and 4,530.47

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Solution

The fourth proportional to 5,794.34, 7,988.36 and 4,530.47 is: 6,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.34 : 7,988.36 = 4,530.47 : x
  2. Step 2: Convert to fraction form
    5,794.34/7,988.36 = 4,530.47/x
  3. Step 3: Cross multiply
    5,794.34x = 7,988.36 × 4,530.47
  4. Step 4: Simplify right side
    5,794.34x = 36,190,962.74
  5. Step 5: Solve for x
    x = 36,190,962.74/5,794.34
  6. Step 6: Final answer
    x = 6,245.92

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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.