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Finding the Fourth Proportional to 6,509.45, 8,983.05 and 3,525.31

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Solution

The fourth proportional to 6,509.45, 8,983.05 and 3,525.31 is: 4,864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.45 : 8,983.05 = 3,525.31 : x
  2. Step 2: Convert to fraction form
    6,509.45/8,983.05 = 3,525.31/x
  3. Step 3: Cross multiply
    6,509.45x = 8,983.05 × 3,525.31
  4. Step 4: Simplify right side
    6,509.45x = 31,668,036.00
  5. Step 5: Solve for x
    x = 31,668,036.00/6,509.45
  6. Step 6: Final answer
    x = 4,864.93

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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.