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Finding the Fourth Proportional to 4,701.05, 6,487.50 and 3,023.00

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Solution

The fourth proportional to 4,701.05, 6,487.50 and 3,023.00 is: 4,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.05 : 6,487.50 = 3,023.00 : x
  2. Step 2: Convert to fraction form
    4,701.05/6,487.50 = 3,023.00/x
  3. Step 3: Cross multiply
    4,701.05x = 6,487.50 × 3,023.00
  4. Step 4: Simplify right side
    4,701.05x = 19,611,728.72
  5. Step 5: Solve for x
    x = 19,611,728.72/4,701.05
  6. Step 6: Final answer
    x = 4,171.78

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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.