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Finding the Fourth Proportional to 5,640.32, 7,783.36 and 3,155.84

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Solution

The fourth proportional to 5,640.32, 7,783.36 and 3,155.84 is: 4,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.32 : 7,783.36 = 3,155.84 : x
  2. Step 2: Convert to fraction form
    5,640.32/7,783.36 = 3,155.84/x
  3. Step 3: Cross multiply
    5,640.32x = 7,783.36 × 3,155.84
  4. Step 4: Simplify right side
    5,640.32x = 24,563,038.82
  5. Step 5: Solve for x
    x = 24,563,038.82/5,640.32
  6. Step 6: Final answer
    x = 4,354.90

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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.