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Finding the Fourth Proportional to 4,152, 6,228 and 1,688.16

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Solution

The fourth proportional to 4,152, 6,228 and 1,688.16 is: 2,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152 : 6,228 = 1,688.16 : x
  2. Step 2: Convert to fraction form
    4,152/6,228 = 1,688.16/x
  3. Step 3: Cross multiply
    4,152x = 6,228 × 1,688.16
  4. Step 4: Simplify right side
    4,152x = 10,513,860.48
  5. Step 5: Solve for x
    x = 10,513,860.48/4,152
  6. Step 6: Final answer
    x = 2,532.24

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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.