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Finding the Fourth Proportional to 5,698.84, 8,547.17 and 2,414.24

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Solution

The fourth proportional to 5,698.84, 8,547.17 and 2,414.24 is: 3,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.84 : 8,547.17 = 2,414.24 : x
  2. Step 2: Convert to fraction form
    5,698.84/8,547.17 = 2,414.24/x
  3. Step 3: Cross multiply
    5,698.84x = 8,547.17 × 2,414.24
  4. Step 4: Simplify right side
    5,698.84x = 20,634,864.89
  5. Step 5: Solve for x
    x = 20,634,864.89/5,698.84
  6. Step 6: Final answer
    x = 3,620.89

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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.