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Finding the Fourth Proportional to 5,823.74, 8,035.00 and 5,262.41

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Solution

The fourth proportional to 5,823.74, 8,035.00 and 5,262.41 is: 7,260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.74 : 8,035.00 = 5,262.41 : x
  2. Step 2: Convert to fraction form
    5,823.74/8,035.00 = 5,262.41/x
  3. Step 3: Cross multiply
    5,823.74x = 8,035.00 × 5,262.41
  4. Step 4: Simplify right side
    5,823.74x = 42,283,397.86
  5. Step 5: Solve for x
    x = 42,283,397.86/5,823.74
  6. Step 6: Final answer
    x = 7,260.53

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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.