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Finding the Fourth Proportional to 5,698.25, 8,547.97 and 2,411.67

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Solution

The fourth proportional to 5,698.25, 8,547.97 and 2,411.67 is: 3,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.25 : 8,547.97 = 2,411.67 : x
  2. Step 2: Convert to fraction form
    5,698.25/8,547.97 = 2,411.67/x
  3. Step 3: Cross multiply
    5,698.25x = 8,547.97 × 2,411.67
  4. Step 4: Simplify right side
    5,698.25x = 20,614,882.81
  5. Step 5: Solve for x
    x = 20,614,882.81/5,698.25
  6. Step 6: Final answer
    x = 3,617.76

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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.