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Finding the Fourth Proportional to 4,713.45, 6,498.85 and 4,074.24

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Solution

The fourth proportional to 4,713.45, 6,498.85 and 4,074.24 is: 5,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.45 : 6,498.85 = 4,074.24 : x
  2. Step 2: Convert to fraction form
    4,713.45/6,498.85 = 4,074.24/x
  3. Step 3: Cross multiply
    4,713.45x = 6,498.85 × 4,074.24
  4. Step 4: Simplify right side
    4,713.45x = 26,477,874.62
  5. Step 5: Solve for x
    x = 26,477,874.62/4,713.45
  6. Step 6: Final answer
    x = 5,617.51

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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.