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Finding the Fourth Proportional to 4,462.60, 6,699.30 and 4,430.20

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Solution

The fourth proportional to 4,462.60, 6,699.30 and 4,430.20 is: 6,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.60 : 6,699.30 = 4,430.20 : x
  2. Step 2: Convert to fraction form
    4,462.60/6,699.30 = 4,430.20/x
  3. Step 3: Cross multiply
    4,462.60x = 6,699.30 × 4,430.20
  4. Step 4: Simplify right side
    4,462.60x = 29,679,238.86
  5. Step 5: Solve for x
    x = 29,679,238.86/4,462.60
  6. Step 6: Final answer
    x = 6,650.66

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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.