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Finding the Fourth Proportional to 4,608.84, 6,356.64 and 3,114.39

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Solution

The fourth proportional to 4,608.84, 6,356.64 and 3,114.39 is: 4,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.84 : 6,356.64 = 3,114.39 : x
  2. Step 2: Convert to fraction form
    4,608.84/6,356.64 = 3,114.39/x
  3. Step 3: Cross multiply
    4,608.84x = 6,356.64 × 3,114.39
  4. Step 4: Simplify right side
    4,608.84x = 19,797,056.05
  5. Step 5: Solve for x
    x = 19,797,056.05/4,608.84
  6. Step 6: Final answer
    x = 4,295.45

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1.5x scale

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.