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Finding the Fourth Proportional to 4,700.87, 7,049.13 and 2,509.01

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Solution

The fourth proportional to 4,700.87, 7,049.13 and 2,509.01 is: 3,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.87 : 7,049.13 = 2,509.01 : x
  2. Step 2: Convert to fraction form
    4,700.87/7,049.13 = 2,509.01/x
  3. Step 3: Cross multiply
    4,700.87x = 7,049.13 × 2,509.01
  4. Step 4: Simplify right side
    4,700.87x = 17,686,337.66
  5. Step 5: Solve for x
    x = 17,686,337.66/4,700.87
  6. Step 6: Final answer
    x = 3,762.35

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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.