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Finding the Fourth Proportional to 5,840.64, 8,760.46 and 2,330.50

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Solution

The fourth proportional to 5,840.64, 8,760.46 and 2,330.50 is: 3,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.64 : 8,760.46 = 2,330.50 : x
  2. Step 2: Convert to fraction form
    5,840.64/8,760.46 = 2,330.50/x
  3. Step 3: Cross multiply
    5,840.64x = 8,760.46 × 2,330.50
  4. Step 4: Simplify right side
    5,840.64x = 20,416,252.03
  5. Step 5: Solve for x
    x = 20,416,252.03/5,840.64
  6. Step 6: Final answer
    x = 3,495.55

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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.