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Finding the Fourth Proportional to 4,749, 7,120.10 and 1,460.32

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Solution

The fourth proportional to 4,749, 7,120.10 and 1,460.32 is: 2,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749 : 7,120.10 = 1,460.32 : x
  2. Step 2: Convert to fraction form
    4,749/7,120.10 = 1,460.32/x
  3. Step 3: Cross multiply
    4,749x = 7,120.10 × 1,460.32
  4. Step 4: Simplify right side
    4,749x = 10,397,624.43
  5. Step 5: Solve for x
    x = 10,397,624.43/4,749
  6. Step 6: Final answer
    x = 2,189.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.