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Finding the Fourth Proportional to 4,700.99, 7,052.70 and 2,509.13

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Solution

The fourth proportional to 4,700.99, 7,052.70 and 2,509.13 is: 3,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.99 : 7,052.70 = 2,509.13 : x
  2. Step 2: Convert to fraction form
    4,700.99/7,052.70 = 2,509.13/x
  3. Step 3: Cross multiply
    4,700.99x = 7,052.70 × 2,509.13
  4. Step 4: Simplify right side
    4,700.99x = 17,696,105.89
  5. Step 5: Solve for x
    x = 17,696,105.89/4,700.99
  6. Step 6: Final answer
    x = 3,764.34

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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.