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Finding the Fourth Proportional to 5,064.35, 6,988.14 and 2,938.10

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Solution

The fourth proportional to 5,064.35, 6,988.14 and 2,938.10 is: 4,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.35 : 6,988.14 = 2,938.10 : x
  2. Step 2: Convert to fraction form
    5,064.35/6,988.14 = 2,938.10/x
  3. Step 3: Cross multiply
    5,064.35x = 6,988.14 × 2,938.10
  4. Step 4: Simplify right side
    5,064.35x = 20,531,819.19
  5. Step 5: Solve for x
    x = 20,531,819.19/5,064.35
  6. Step 6: Final answer
    x = 4,054.19

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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.