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Finding the Fourth Proportional to 2,973.66, 4,437.14 and 2,711.72

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Solution

The fourth proportional to 2,973.66, 4,437.14 and 2,711.72 is: 4,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.66 : 4,437.14 = 2,711.72 : x
  2. Step 2: Convert to fraction form
    2,973.66/4,437.14 = 2,711.72/x
  3. Step 3: Cross multiply
    2,973.66x = 4,437.14 × 2,711.72
  4. Step 4: Simplify right side
    2,973.66x = 12,032,281.28
  5. Step 5: Solve for x
    x = 12,032,281.28/2,973.66
  6. Step 6: Final answer
    x = 4,046.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.