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Finding the Fourth Proportional to 3,617, 5,421.42 and 1,973

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Solution

The fourth proportional to 3,617, 5,421.42 and 1,973 is: 2,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617 : 5,421.42 = 1,973 : x
  2. Step 2: Convert to fraction form
    3,617/5,421.42 = 1,973/x
  3. Step 3: Cross multiply
    3,617x = 5,421.42 × 1,973
  4. Step 4: Simplify right side
    3,617x = 10,696,461.66
  5. Step 5: Solve for x
    x = 10,696,461.66/3,617
  6. Step 6: Final answer
    x = 2,957.27

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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.