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Finding the Fourth Proportional to 4,292.04, 5,922 and 2,429.04

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Solution

The fourth proportional to 4,292.04, 5,922 and 2,429.04 is: 3,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.04 : 5,922 = 2,429.04 : x
  2. Step 2: Convert to fraction form
    4,292.04/5,922 = 2,429.04/x
  3. Step 3: Cross multiply
    4,292.04x = 5,922 × 2,429.04
  4. Step 4: Simplify right side
    4,292.04x = 14,384,774.88
  5. Step 5: Solve for x
    x = 14,384,774.88/4,292.04
  6. Step 6: Final answer
    x = 3,351.50

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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.