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Finding the Fourth Proportional to 4,226.82, 5,830.22 and 2,547.08

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Solution

The fourth proportional to 4,226.82, 5,830.22 and 2,547.08 is: 3,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.82 : 5,830.22 = 2,547.08 : x
  2. Step 2: Convert to fraction form
    4,226.82/5,830.22 = 2,547.08/x
  3. Step 3: Cross multiply
    4,226.82x = 5,830.22 × 2,547.08
  4. Step 4: Simplify right side
    4,226.82x = 14,850,036.76
  5. Step 5: Solve for x
    x = 14,850,036.76/4,226.82
  6. Step 6: Final answer
    x = 3,513.29

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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.