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Finding the Fourth Proportional to 5,384.90, 8,066 and 2,465.66

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Solution

The fourth proportional to 5,384.90, 8,066 and 2,465.66 is: 3,693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.90 : 8,066 = 2,465.66 : x
  2. Step 2: Convert to fraction form
    5,384.90/8,066 = 2,465.66/x
  3. Step 3: Cross multiply
    5,384.90x = 8,066 × 2,465.66
  4. Step 4: Simplify right side
    5,384.90x = 19,888,013.56
  5. Step 5: Solve for x
    x = 19,888,013.56/5,384.90
  6. Step 6: Final answer
    x = 3,693.29

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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.