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Finding the Fourth Proportional to 5,904.64, 8,140.83 and 4,838.48

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Solution

The fourth proportional to 5,904.64, 8,140.83 and 4,838.48 is: 6,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.64 : 8,140.83 = 4,838.48 : x
  2. Step 2: Convert to fraction form
    5,904.64/8,140.83 = 4,838.48/x
  3. Step 3: Cross multiply
    5,904.64x = 8,140.83 × 4,838.48
  4. Step 4: Simplify right side
    5,904.64x = 39,389,202.43
  5. Step 5: Solve for x
    x = 39,389,202.43/5,904.64
  6. Step 6: Final answer
    x = 6,670.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.