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Finding the Fourth Proportional to 4,750.64, 7,125.29 and 1,630.60

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Solution

The fourth proportional to 4,750.64, 7,125.29 and 1,630.60 is: 2,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.64 : 7,125.29 = 1,630.60 : x
  2. Step 2: Convert to fraction form
    4,750.64/7,125.29 = 1,630.60/x
  3. Step 3: Cross multiply
    4,750.64x = 7,125.29 × 1,630.60
  4. Step 4: Simplify right side
    4,750.64x = 11,618,462.25
  5. Step 5: Solve for x
    x = 11,618,462.25/4,750.64
  6. Step 6: Final answer
    x = 2,445.66

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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.