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Finding the Fourth Proportional to 5,643,041.93, 7,787,878.13 and 3,196,088.28

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Solution

The fourth proportional to 5,643,041.93, 7,787,878.13 and 3,196,088.28 is: 4,410,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643,041.93 : 7,787,878.13 = 3,196,088.28 : x
  2. Step 2: Convert to fraction form
    5,643,041.93/7,787,878.13 = 3,196,088.28/x
  3. Step 3: Cross multiply
    5,643,041.93x = 7,787,878.13 × 3,196,088.28
  4. Step 4: Simplify right side
    5,643,041.93x = 24,890,745,962,441.48
  5. Step 5: Solve for x
    x = 24,890,745,962,441.48/5,643,041.93
  6. Step 6: Final answer
    x = 4,410,873.83

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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.