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Finding the Fourth Proportional to 5,945.54, 8,920.14 and 4,713.53

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Solution

The fourth proportional to 5,945.54, 8,920.14 and 4,713.53 is: 7,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.54 : 8,920.14 = 4,713.53 : x
  2. Step 2: Convert to fraction form
    5,945.54/8,920.14 = 4,713.53/x
  3. Step 3: Cross multiply
    5,945.54x = 8,920.14 × 4,713.53
  4. Step 4: Simplify right side
    5,945.54x = 42,045,347.49
  5. Step 5: Solve for x
    x = 42,045,347.49/5,945.54
  6. Step 6: Final answer
    x = 7,071.75

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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.