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Finding the Fourth Proportional to 5,339.34, 7,370.34 and 3,570.30

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Solution

The fourth proportional to 5,339.34, 7,370.34 and 3,570.30 is: 4,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.34 : 7,370.34 = 3,570.30 : x
  2. Step 2: Convert to fraction form
    5,339.34/7,370.34 = 3,570.30/x
  3. Step 3: Cross multiply
    5,339.34x = 7,370.34 × 3,570.30
  4. Step 4: Simplify right side
    5,339.34x = 26,314,324.90
  5. Step 5: Solve for x
    x = 26,314,324.90/5,339.34
  6. Step 6: Final answer
    x = 4,928.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.