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Finding the Fourth Proportional to 3,109.64, 4,658.92 and 3,033.08

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Solution

The fourth proportional to 3,109.64, 4,658.92 and 3,033.08 is: 4,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.64 : 4,658.92 = 3,033.08 : x
  2. Step 2: Convert to fraction form
    3,109.64/4,658.92 = 3,033.08/x
  3. Step 3: Cross multiply
    3,109.64x = 4,658.92 × 3,033.08
  4. Step 4: Simplify right side
    3,109.64x = 14,130,877.07
  5. Step 5: Solve for x
    x = 14,130,877.07/3,109.64
  6. Step 6: Final answer
    x = 4,544.22

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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.