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Finding the Fourth Proportional to 4,347.76, 6,522.60 and 2,038

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Solution

The fourth proportional to 4,347.76, 6,522.60 and 2,038 is: 3,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.76 : 6,522.60 = 2,038 : x
  2. Step 2: Convert to fraction form
    4,347.76/6,522.60 = 2,038/x
  3. Step 3: Cross multiply
    4,347.76x = 6,522.60 × 2,038
  4. Step 4: Simplify right side
    4,347.76x = 13,293,058.80
  5. Step 5: Solve for x
    x = 13,293,058.80/4,347.76
  6. Step 6: Final answer
    x = 3,057.45

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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.