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Finding the Fourth Proportional to 5,698.25, 8,547.98 and 2,410.91

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Solution

The fourth proportional to 5,698.25, 8,547.98 and 2,410.91 is: 3,616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.25 : 8,547.98 = 2,410.91 : x
  2. Step 2: Convert to fraction form
    5,698.25/8,547.98 = 2,410.91/x
  3. Step 3: Cross multiply
    5,698.25x = 8,547.98 × 2,410.91
  4. Step 4: Simplify right side
    5,698.25x = 20,608,449.37
  5. Step 5: Solve for x
    x = 20,608,449.37/5,698.25
  6. Step 6: Final answer
    x = 3,616.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.