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Finding the Fourth Proportional to 4,615.47, 6,889.11 and 4,290.39

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Solution

The fourth proportional to 4,615.47, 6,889.11 and 4,290.39 is: 6,403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.47 : 6,889.11 = 4,290.39 : x
  2. Step 2: Convert to fraction form
    4,615.47/6,889.11 = 4,290.39/x
  3. Step 3: Cross multiply
    4,615.47x = 6,889.11 × 4,290.39
  4. Step 4: Simplify right side
    4,615.47x = 29,556,968.65
  5. Step 5: Solve for x
    x = 29,556,968.65/4,615.47
  6. Step 6: Final answer
    x = 6,403.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.