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Finding the Fourth Proportional to 4,999.80, 7,500.14 and 1,302.02

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Solution

The fourth proportional to 4,999.80, 7,500.14 and 1,302.02 is: 1,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.80 : 7,500.14 = 1,302.02 : x
  2. Step 2: Convert to fraction form
    4,999.80/7,500.14 = 1,302.02/x
  3. Step 3: Cross multiply
    4,999.80x = 7,500.14 × 1,302.02
  4. Step 4: Simplify right side
    4,999.80x = 9,765,362.55
  5. Step 5: Solve for x
    x = 9,765,362.55/4,999.80
  6. Step 6: Final answer
    x = 1,953.15

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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.