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Finding the Fourth Proportional to 5,894.64, 8,133.48 and 3,535.92

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Solution

The fourth proportional to 5,894.64, 8,133.48 and 3,535.92 is: 4,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.64 : 8,133.48 = 3,535.92 : x
  2. Step 2: Convert to fraction form
    5,894.64/8,133.48 = 3,535.92/x
  3. Step 3: Cross multiply
    5,894.64x = 8,133.48 × 3,535.92
  4. Step 4: Simplify right side
    5,894.64x = 28,759,334.60
  5. Step 5: Solve for x
    x = 28,759,334.60/5,894.64
  6. Step 6: Final answer
    x = 4,878.90

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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.