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Finding the Fourth Proportional to 4,535.52, 6,802.34 and 1,415

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Solution

The fourth proportional to 4,535.52, 6,802.34 and 1,415 is: 2,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.52 : 6,802.34 = 1,415 : x
  2. Step 2: Convert to fraction form
    4,535.52/6,802.34 = 1,415/x
  3. Step 3: Cross multiply
    4,535.52x = 6,802.34 × 1,415
  4. Step 4: Simplify right side
    4,535.52x = 9,625,311.10
  5. Step 5: Solve for x
    x = 9,625,311.10/4,535.52
  6. Step 6: Final answer
    x = 2,122.21

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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.