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Finding the Fourth Proportional to 4,293.02, 6,438.13 and 1,370.63

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Solution

The fourth proportional to 4,293.02, 6,438.13 and 1,370.63 is: 2,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.02 : 6,438.13 = 1,370.63 : x
  2. Step 2: Convert to fraction form
    4,293.02/6,438.13 = 1,370.63/x
  3. Step 3: Cross multiply
    4,293.02x = 6,438.13 × 1,370.63
  4. Step 4: Simplify right side
    4,293.02x = 8,824,258.50
  5. Step 5: Solve for x
    x = 8,824,258.50/4,293.02
  6. Step 6: Final answer
    x = 2,055.49

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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.