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Finding the Fourth Proportional to 5,064.34, 6,988.62 and 2,968.42

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Solution

The fourth proportional to 5,064.34, 6,988.62 and 2,968.42 is: 4,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.34 : 6,988.62 = 2,968.42 : x
  2. Step 2: Convert to fraction form
    5,064.34/6,988.62 = 2,968.42/x
  3. Step 3: Cross multiply
    5,064.34x = 6,988.62 × 2,968.42
  4. Step 4: Simplify right side
    5,064.34x = 20,745,159.38
  5. Step 5: Solve for x
    x = 20,745,159.38/5,064.34
  6. Step 6: Final answer
    x = 4,096.32

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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.