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Finding the Fourth Proportional to 4,894.09, 6,748.88 and 4,188.29

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Solution

The fourth proportional to 4,894.09, 6,748.88 and 4,188.29 is: 5,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.09 : 6,748.88 = 4,188.29 : x
  2. Step 2: Convert to fraction form
    4,894.09/6,748.88 = 4,188.29/x
  3. Step 3: Cross multiply
    4,894.09x = 6,748.88 × 4,188.29
  4. Step 4: Simplify right side
    4,894.09x = 28,266,211.93
  5. Step 5: Solve for x
    x = 28,266,211.93/4,894.09
  6. Step 6: Final answer
    x = 5,775.58

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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.