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Finding the Fourth Proportional to 5,024, 7,539.24 and 1,946

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Solution

The fourth proportional to 5,024, 7,539.24 and 1,946 is: 2,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024 : 7,539.24 = 1,946 : x
  2. Step 2: Convert to fraction form
    5,024/7,539.24 = 1,946/x
  3. Step 3: Cross multiply
    5,024x = 7,539.24 × 1,946
  4. Step 4: Simplify right side
    5,024x = 14,671,361.04
  5. Step 5: Solve for x
    x = 14,671,361.04/5,024
  6. Step 6: Final answer
    x = 2,920.25

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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.