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Finding the Fourth Proportional to 3,799,871.92, 5,702,803.45 and 1,404,401.62

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Solution

The fourth proportional to 3,799,871.92, 5,702,803.45 and 1,404,401.62 is: 2,107,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799,871.92 : 5,702,803.45 = 1,404,401.62 : x
  2. Step 2: Convert to fraction form
    3,799,871.92/5,702,803.45 = 1,404,401.62/x
  3. Step 3: Cross multiply
    3,799,871.92x = 5,702,803.45 × 1,404,401.62
  4. Step 4: Simplify right side
    3,799,871.92x = 8,009,026,403,721.59
  5. Step 5: Solve for x
    x = 8,009,026,403,721.59/3,799,871.92
  6. Step 6: Final answer
    x = 2,107,709.57

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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.