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Finding the Fourth Proportional to 4,258.32, 6,387.22 and 2,038.74

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Solution

The fourth proportional to 4,258.32, 6,387.22 and 2,038.74 is: 3,057.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.32 : 6,387.22 = 2,038.74 : x
  2. Step 2: Convert to fraction form
    4,258.32/6,387.22 = 2,038.74/x
  3. Step 3: Cross multiply
    4,258.32x = 6,387.22 × 2,038.74
  4. Step 4: Simplify right side
    4,258.32x = 13,021,859.50
  5. Step 5: Solve for x
    x = 13,021,859.50/4,258.32
  6. Step 6: Final answer
    x = 3,057.98

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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.