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Finding the Fourth Proportional to 6,251.60, 9,364.80 and 3,904.40

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Solution

The fourth proportional to 6,251.60, 9,364.80 and 3,904.40 is: 5,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.60 : 9,364.80 = 3,904.40 : x
  2. Step 2: Convert to fraction form
    6,251.60/9,364.80 = 3,904.40/x
  3. Step 3: Cross multiply
    6,251.60x = 9,364.80 × 3,904.40
  4. Step 4: Simplify right side
    6,251.60x = 36,563,925.12
  5. Step 5: Solve for x
    x = 36,563,925.12/6,251.60
  6. Step 6: Final answer
    x = 5,848.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.