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Finding the Fourth Proportional to 5,803.69, 8,010.21 and 3,285.76

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Solution

The fourth proportional to 5,803.69, 8,010.21 and 3,285.76 is: 4,534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.69 : 8,010.21 = 3,285.76 : x
  2. Step 2: Convert to fraction form
    5,803.69/8,010.21 = 3,285.76/x
  3. Step 3: Cross multiply
    5,803.69x = 8,010.21 × 3,285.76
  4. Step 4: Simplify right side
    5,803.69x = 26,319,627.61
  5. Step 5: Solve for x
    x = 26,319,627.61/5,803.69
  6. Step 6: Final answer
    x = 4,534.98

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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.