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Finding the Fourth Proportional to 3,190.32, 4,756.86 and 3,132

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Solution

The fourth proportional to 3,190.32, 4,756.86 and 3,132 is: 4,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.32 : 4,756.86 = 3,132 : x
  2. Step 2: Convert to fraction form
    3,190.32/4,756.86 = 3,132/x
  3. Step 3: Cross multiply
    3,190.32x = 4,756.86 × 3,132
  4. Step 4: Simplify right side
    3,190.32x = 14,898,485.52
  5. Step 5: Solve for x
    x = 14,898,485.52/3,190.32
  6. Step 6: Final answer
    x = 4,669.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.