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Finding the Fourth Proportional to 5,254.49, 7,858.49 and 4,673.57

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Solution

The fourth proportional to 5,254.49, 7,858.49 and 4,673.57 is: 6,989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.49 : 7,858.49 = 4,673.57 : x
  2. Step 2: Convert to fraction form
    5,254.49/7,858.49 = 4,673.57/x
  3. Step 3: Cross multiply
    5,254.49x = 7,858.49 × 4,673.57
  4. Step 4: Simplify right side
    5,254.49x = 36,727,140.45
  5. Step 5: Solve for x
    x = 36,727,140.45/5,254.49
  6. Step 6: Final answer
    x = 6,989.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.