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Finding the Fourth Proportional to 5,300.01, 7,949.94 and 1,297.42

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Solution

The fourth proportional to 5,300.01, 7,949.94 and 1,297.42 is: 1,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.01 : 7,949.94 = 1,297.42 : x
  2. Step 2: Convert to fraction form
    5,300.01/7,949.94 = 1,297.42/x
  3. Step 3: Cross multiply
    5,300.01x = 7,949.94 × 1,297.42
  4. Step 4: Simplify right side
    5,300.01x = 10,314,411.15
  5. Step 5: Solve for x
    x = 10,314,411.15/5,300.01
  6. Step 6: Final answer
    x = 1,946.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.