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Finding the Fourth Proportional to 3,416, 5,124 and 1,107.50

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Solution

The fourth proportional to 3,416, 5,124 and 1,107.50 is: 1,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416 : 5,124 = 1,107.50 : x
  2. Step 2: Convert to fraction form
    3,416/5,124 = 1,107.50/x
  3. Step 3: Cross multiply
    3,416x = 5,124 × 1,107.50
  4. Step 4: Simplify right side
    3,416x = 5,674,830
  5. Step 5: Solve for x
    x = 5,674,830/3,416
  6. Step 6: Final answer
    x = 1,661.25

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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.