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Finding the Fourth Proportional to 4,709.85, 7,064.53 and 1,748.86

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Solution

The fourth proportional to 4,709.85, 7,064.53 and 1,748.86 is: 2,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.85 : 7,064.53 = 1,748.86 : x
  2. Step 2: Convert to fraction form
    4,709.85/7,064.53 = 1,748.86/x
  3. Step 3: Cross multiply
    4,709.85x = 7,064.53 × 1,748.86
  4. Step 4: Simplify right side
    4,709.85x = 12,354,873.94
  5. Step 5: Solve for x
    x = 12,354,873.94/4,709.85
  6. Step 6: Final answer
    x = 2,623.20

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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.