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Finding the Fourth Proportional to 5,591.04, 7,714.08 and 3,201

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Solution

The fourth proportional to 5,591.04, 7,714.08 and 3,201 is: 4,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.04 : 7,714.08 = 3,201 : x
  2. Step 2: Convert to fraction form
    5,591.04/7,714.08 = 3,201/x
  3. Step 3: Cross multiply
    5,591.04x = 7,714.08 × 3,201
  4. Step 4: Simplify right side
    5,591.04x = 24,692,770.08
  5. Step 5: Solve for x
    x = 24,692,770.08/5,591.04
  6. Step 6: Final answer
    x = 4,416.49

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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.