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Finding the Fourth Proportional to 4,615.36, 6,923.50 and 1,841.38

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Solution

The fourth proportional to 4,615.36, 6,923.50 and 1,841.38 is: 2,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.36 : 6,923.50 = 1,841.38 : x
  2. Step 2: Convert to fraction form
    4,615.36/6,923.50 = 1,841.38/x
  3. Step 3: Cross multiply
    4,615.36x = 6,923.50 × 1,841.38
  4. Step 4: Simplify right side
    4,615.36x = 12,748,794.43
  5. Step 5: Solve for x
    x = 12,748,794.43/4,615.36
  6. Step 6: Final answer
    x = 2,762.25

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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.