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Finding the Fourth Proportional to 3,421.83, 4,722.28 and 1,929.81

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Solution

The fourth proportional to 3,421.83, 4,722.28 and 1,929.81 is: 2,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.83 : 4,722.28 = 1,929.81 : x
  2. Step 2: Convert to fraction form
    3,421.83/4,722.28 = 1,929.81/x
  3. Step 3: Cross multiply
    3,421.83x = 4,722.28 × 1,929.81
  4. Step 4: Simplify right side
    3,421.83x = 9,113,103.17
  5. Step 5: Solve for x
    x = 9,113,103.17/3,421.83
  6. Step 6: Final answer
    x = 2,663.22

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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.