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Finding the Fourth Proportional to 5,715.34, 8,607.26 and 5,029.52

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Solution

The fourth proportional to 5,715.34, 8,607.26 and 5,029.52 is: 7,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.34 : 8,607.26 = 5,029.52 : x
  2. Step 2: Convert to fraction form
    5,715.34/8,607.26 = 5,029.52/x
  3. Step 3: Cross multiply
    5,715.34x = 8,607.26 × 5,029.52
  4. Step 4: Simplify right side
    5,715.34x = 43,290,361.17
  5. Step 5: Solve for x
    x = 43,290,361.17/5,715.34
  6. Step 6: Final answer
    x = 7,574.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.