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Finding the Fourth Proportional to 4,477.10, 6,711.97 and 1,976.51

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Solution

The fourth proportional to 4,477.10, 6,711.97 and 1,976.51 is: 2,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.10 : 6,711.97 = 1,976.51 : x
  2. Step 2: Convert to fraction form
    4,477.10/6,711.97 = 1,976.51/x
  3. Step 3: Cross multiply
    4,477.10x = 6,711.97 × 1,976.51
  4. Step 4: Simplify right side
    4,477.10x = 13,266,275.82
  5. Step 5: Solve for x
    x = 13,266,275.82/4,477.10
  6. Step 6: Final answer
    x = 2,963.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.