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Finding the Fourth Proportional to 3,856.16, 5,783.70 and 1,390.64

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Solution

The fourth proportional to 3,856.16, 5,783.70 and 1,390.64 is: 2,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.16 : 5,783.70 = 1,390.64 : x
  2. Step 2: Convert to fraction form
    3,856.16/5,783.70 = 1,390.64/x
  3. Step 3: Cross multiply
    3,856.16x = 5,783.70 × 1,390.64
  4. Step 4: Simplify right side
    3,856.16x = 8,043,044.57
  5. Step 5: Solve for x
    x = 8,043,044.57/3,856.16
  6. Step 6: Final answer
    x = 2,085.77

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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.