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Finding the Fourth Proportional to 5,102.94, 7,653.51 and 1,404.27

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Solution

The fourth proportional to 5,102.94, 7,653.51 and 1,404.27 is: 2,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.94 : 7,653.51 = 1,404.27 : x
  2. Step 2: Convert to fraction form
    5,102.94/7,653.51 = 1,404.27/x
  3. Step 3: Cross multiply
    5,102.94x = 7,653.51 × 1,404.27
  4. Step 4: Simplify right side
    5,102.94x = 10,747,594.49
  5. Step 5: Solve for x
    x = 10,747,594.49/5,102.94
  6. Step 6: Final answer
    x = 2,106.16

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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.