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Finding the Fourth Proportional to 5,070, 7,606.29 and 3,592.14

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Solution

The fourth proportional to 5,070, 7,606.29 and 3,592.14 is: 5,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070 : 7,606.29 = 3,592.14 : x
  2. Step 2: Convert to fraction form
    5,070/7,606.29 = 3,592.14/x
  3. Step 3: Cross multiply
    5,070x = 7,606.29 × 3,592.14
  4. Step 4: Simplify right side
    5,070x = 27,322,858.56
  5. Step 5: Solve for x
    x = 27,322,858.56/5,070
  6. Step 6: Final answer
    x = 5,389.12

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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.