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Finding the Fourth Proportional to 4,725.70, 6,526.18 and 3,894.64

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Solution

The fourth proportional to 4,725.70, 6,526.18 and 3,894.64 is: 5,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.70 : 6,526.18 = 3,894.64 : x
  2. Step 2: Convert to fraction form
    4,725.70/6,526.18 = 3,894.64/x
  3. Step 3: Cross multiply
    4,725.70x = 6,526.18 × 3,894.64
  4. Step 4: Simplify right side
    4,725.70x = 25,417,121.68
  5. Step 5: Solve for x
    x = 25,417,121.68/4,725.70
  6. Step 6: Final answer
    x = 5,378.49

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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.