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Finding the Fourth Proportional to 6,400.20, 8,820.48 and 4,628.76

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Solution

The fourth proportional to 6,400.20, 8,820.48 and 4,628.76 is: 6,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.20 : 8,820.48 = 4,628.76 : x
  2. Step 2: Convert to fraction form
    6,400.20/8,820.48 = 4,628.76/x
  3. Step 3: Cross multiply
    6,400.20x = 8,820.48 × 4,628.76
  4. Step 4: Simplify right side
    6,400.20x = 40,827,885.00
  5. Step 5: Solve for x
    x = 40,827,885.00/6,400.20
  6. Step 6: Final answer
    x = 6,379.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.