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Finding the Fourth Proportional to 4,764.81, 6,574.92 and 2,775.45

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Solution

The fourth proportional to 4,764.81, 6,574.92 and 2,775.45 is: 3,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.81 : 6,574.92 = 2,775.45 : x
  2. Step 2: Convert to fraction form
    4,764.81/6,574.92 = 2,775.45/x
  3. Step 3: Cross multiply
    4,764.81x = 6,574.92 × 2,775.45
  4. Step 4: Simplify right side
    4,764.81x = 18,248,361.71
  5. Step 5: Solve for x
    x = 18,248,361.71/4,764.81
  6. Step 6: Final answer
    x = 3,829.82

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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.