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Finding the Fourth Proportional to 3,966,767.87, 5,946,662.93 and 1,572,293.66

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Solution

The fourth proportional to 3,966,767.87, 5,946,662.93 and 1,572,293.66 is: 2,357,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966,767.87 : 5,946,662.93 = 1,572,293.66 : x
  2. Step 2: Convert to fraction form
    3,966,767.87/5,946,662.93 = 1,572,293.66/x
  3. Step 3: Cross multiply
    3,966,767.87x = 5,946,662.93 × 1,572,293.66
  4. Step 4: Simplify right side
    3,966,767.87x = 9,349,900,385,401.24
  5. Step 5: Solve for x
    x = 9,349,900,385,401.24/3,966,767.87
  6. Step 6: Final answer
    x = 2,357,057.61

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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.