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Finding the Fourth Proportional to 4,973.76, 6,864.16 and 2,850

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Solution

The fourth proportional to 4,973.76, 6,864.16 and 2,850 is: 3,933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.76 : 6,864.16 = 2,850 : x
  2. Step 2: Convert to fraction form
    4,973.76/6,864.16 = 2,850/x
  3. Step 3: Cross multiply
    4,973.76x = 6,864.16 × 2,850
  4. Step 4: Simplify right side
    4,973.76x = 19,562,856
  5. Step 5: Solve for x
    x = 19,562,856/4,973.76
  6. Step 6: Final answer
    x = 3,933.21

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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.