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Finding the Fourth Proportional to 3,461.41, 4,776.76 and 1,889.53

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Solution

The fourth proportional to 3,461.41, 4,776.76 and 1,889.53 is: 2,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.41 : 4,776.76 = 1,889.53 : x
  2. Step 2: Convert to fraction form
    3,461.41/4,776.76 = 1,889.53/x
  3. Step 3: Cross multiply
    3,461.41x = 4,776.76 × 1,889.53
  4. Step 4: Simplify right side
    3,461.41x = 9,025,831.32
  5. Step 5: Solve for x
    x = 9,025,831.32/3,461.41
  6. Step 6: Final answer
    x = 2,607.56

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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.