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Finding the Fourth Proportional to 3,802.24, 5,700.80 and 1,951.04

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Solution

The fourth proportional to 3,802.24, 5,700.80 and 1,951.04 is: 2,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.24 : 5,700.80 = 1,951.04 : x
  2. Step 2: Convert to fraction form
    3,802.24/5,700.80 = 1,951.04/x
  3. Step 3: Cross multiply
    3,802.24x = 5,700.80 × 1,951.04
  4. Step 4: Simplify right side
    3,802.24x = 11,122,488.83
  5. Step 5: Solve for x
    x = 11,122,488.83/3,802.24
  6. Step 6: Final answer
    x = 2,925.25

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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.