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Finding the Fourth Proportional to 5,153.01, 7,740.06 and 3,400.53

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Solution

The fourth proportional to 5,153.01, 7,740.06 and 3,400.53 is: 5,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.01 : 7,740.06 = 3,400.53 : x
  2. Step 2: Convert to fraction form
    5,153.01/7,740.06 = 3,400.53/x
  3. Step 3: Cross multiply
    5,153.01x = 7,740.06 × 3,400.53
  4. Step 4: Simplify right side
    5,153.01x = 26,320,306.23
  5. Step 5: Solve for x
    x = 26,320,306.23/5,153.01
  6. Step 6: Final answer
    x = 5,107.75

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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.