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Finding the Fourth Proportional to 5,883.56, 8,101.54 and 5,085.46

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Solution

The fourth proportional to 5,883.56, 8,101.54 and 5,085.46 is: 7,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.56 : 8,101.54 = 5,085.46 : x
  2. Step 2: Convert to fraction form
    5,883.56/8,101.54 = 5,085.46/x
  3. Step 3: Cross multiply
    5,883.56x = 8,101.54 × 5,085.46
  4. Step 4: Simplify right side
    5,883.56x = 41,200,065.61
  5. Step 5: Solve for x
    x = 41,200,065.61/5,883.56
  6. Step 6: Final answer
    x = 7,002.57

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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.