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Finding the Fourth Proportional to 5,792.31, 8,646.53 and 5,091.69

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Solution

The fourth proportional to 5,792.31, 8,646.53 and 5,091.69 is: 7,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.31 : 8,646.53 = 5,091.69 : x
  2. Step 2: Convert to fraction form
    5,792.31/8,646.53 = 5,091.69/x
  3. Step 3: Cross multiply
    5,792.31x = 8,646.53 × 5,091.69
  4. Step 4: Simplify right side
    5,792.31x = 44,025,424.88
  5. Step 5: Solve for x
    x = 44,025,424.88/5,792.31
  6. Step 6: Final answer
    x = 7,600.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.