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Finding the Fourth Proportional to 3,152.34, 4,349.06 and 3,147.48

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Solution

The fourth proportional to 3,152.34, 4,349.06 and 3,147.48 is: 4,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.34 : 4,349.06 = 3,147.48 : x
  2. Step 2: Convert to fraction form
    3,152.34/4,349.06 = 3,147.48/x
  3. Step 3: Cross multiply
    3,152.34x = 4,349.06 × 3,147.48
  4. Step 4: Simplify right side
    3,152.34x = 13,688,579.37
  5. Step 5: Solve for x
    x = 13,688,579.37/3,152.34
  6. Step 6: Final answer
    x = 4,342.36

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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.