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Finding the Fourth Proportional to 4,973.63, 6,864.71 and 3,894.76

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Solution

The fourth proportional to 4,973.63, 6,864.71 and 3,894.76 is: 5,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.63 : 6,864.71 = 3,894.76 : x
  2. Step 2: Convert to fraction form
    4,973.63/6,864.71 = 3,894.76/x
  3. Step 3: Cross multiply
    4,973.63x = 6,864.71 × 3,894.76
  4. Step 4: Simplify right side
    4,973.63x = 26,736,344.12
  5. Step 5: Solve for x
    x = 26,736,344.12/4,973.63
  6. Step 6: Final answer
    x = 5,375.63

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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.