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Finding the Fourth Proportional to 5,729.76, 7,905.06 and 3,604.32

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Solution

The fourth proportional to 5,729.76, 7,905.06 and 3,604.32 is: 4,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.76 : 7,905.06 = 3,604.32 : x
  2. Step 2: Convert to fraction form
    5,729.76/7,905.06 = 3,604.32/x
  3. Step 3: Cross multiply
    5,729.76x = 7,905.06 × 3,604.32
  4. Step 4: Simplify right side
    5,729.76x = 28,492,365.86
  5. Step 5: Solve for x
    x = 28,492,365.86/5,729.76
  6. Step 6: Final answer
    x = 4,972.70

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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.