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Finding the Fourth Proportional to 5,174.20, 7,747.74 and 4,746.52

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Solution

The fourth proportional to 5,174.20, 7,747.74 and 4,746.52 is: 7,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.20 : 7,747.74 = 4,746.52 : x
  2. Step 2: Convert to fraction form
    5,174.20/7,747.74 = 4,746.52/x
  3. Step 3: Cross multiply
    5,174.20x = 7,747.74 × 4,746.52
  4. Step 4: Simplify right side
    5,174.20x = 36,774,802.86
  5. Step 5: Solve for x
    x = 36,774,802.86/5,174.20
  6. Step 6: Final answer
    x = 7,107.34

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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.