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Finding the Fourth Proportional to 3,461.57, 4,776.95 and 1,889.66

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Solution

The fourth proportional to 3,461.57, 4,776.95 and 1,889.66 is: 2,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.57 : 4,776.95 = 1,889.66 : x
  2. Step 2: Convert to fraction form
    3,461.57/4,776.95 = 1,889.66/x
  3. Step 3: Cross multiply
    3,461.57x = 4,776.95 × 1,889.66
  4. Step 4: Simplify right side
    3,461.57x = 9,026,809.25
  5. Step 5: Solve for x
    x = 9,026,809.25/3,461.57
  6. Step 6: Final answer
    x = 2,607.72

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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.