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Finding the Fourth Proportional to 5,702,000.40, 7,868,760.12 and 3,410,161.02

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Solution

The fourth proportional to 5,702,000.40, 7,868,760.12 and 3,410,161.02 is: 4,706,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702,000.40 : 7,868,760.12 = 3,410,161.02 : x
  2. Step 2: Convert to fraction form
    5,702,000.40/7,868,760.12 = 3,410,161.02/x
  3. Step 3: Cross multiply
    5,702,000.40x = 7,868,760.12 × 3,410,161.02
  4. Step 4: Simplify right side
    5,702,000.40x = 26,833,739,036,954.52
  5. Step 5: Solve for x
    x = 26,833,739,036,954.52/5,702,000.40
  6. Step 6: Final answer
    x = 4,706,021.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.