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Finding the Fourth Proportional to 3,697,217.02, 5,102,065.25 and 2,065,636.65

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Solution

The fourth proportional to 3,697,217.02, 5,102,065.25 and 2,065,636.65 is: 2,850,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697,217.02 : 5,102,065.25 = 2,065,636.65 : x
  2. Step 2: Convert to fraction form
    3,697,217.02/5,102,065.25 = 2,065,636.65/x
  3. Step 3: Cross multiply
    3,697,217.02x = 5,102,065.25 × 2,065,636.65
  4. Step 4: Simplify right side
    3,697,217.02x = 10,539,012,971,091.41
  5. Step 5: Solve for x
    x = 10,539,012,971,091.41/3,697,217.02
  6. Step 6: Final answer
    x = 2,850,525.93

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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.