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Finding the Fourth Proportional to 3,749.51, 5,623.83 and 1,284

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Solution

The fourth proportional to 3,749.51, 5,623.83 and 1,284 is: 1,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.51 : 5,623.83 = 1,284 : x
  2. Step 2: Convert to fraction form
    3,749.51/5,623.83 = 1,284/x
  3. Step 3: Cross multiply
    3,749.51x = 5,623.83 × 1,284
  4. Step 4: Simplify right side
    3,749.51x = 7,220,997.72
  5. Step 5: Solve for x
    x = 7,220,997.72/3,749.51
  6. Step 6: Final answer
    x = 1,925.85

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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.