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Finding the Fourth Proportional to 4,490.84, 6,737.34 and 1,412.84

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Solution

The fourth proportional to 4,490.84, 6,737.34 and 1,412.84 is: 2,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.84 : 6,737.34 = 1,412.84 : x
  2. Step 2: Convert to fraction form
    4,490.84/6,737.34 = 1,412.84/x
  3. Step 3: Cross multiply
    4,490.84x = 6,737.34 × 1,412.84
  4. Step 4: Simplify right side
    4,490.84x = 9,518,783.45
  5. Step 5: Solve for x
    x = 9,518,783.45/4,490.84
  6. Step 6: Final answer
    x = 2,119.60

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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.