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Finding the Fourth Proportional to 4,328.64, 5,970.24 and 3,071.52

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Solution

The fourth proportional to 4,328.64, 5,970.24 and 3,071.52 is: 4,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.64 : 5,970.24 = 3,071.52 : x
  2. Step 2: Convert to fraction form
    4,328.64/5,970.24 = 3,071.52/x
  3. Step 3: Cross multiply
    4,328.64x = 5,970.24 × 3,071.52
  4. Step 4: Simplify right side
    4,328.64x = 18,337,711.56
  5. Step 5: Solve for x
    x = 18,337,711.56/4,328.64
  6. Step 6: Final answer
    x = 4,236.37

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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.