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Finding the Fourth Proportional to 4,577.71, 6,870.21 and 1,805.08

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Solution

The fourth proportional to 4,577.71, 6,870.21 and 1,805.08 is: 2,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.71 : 6,870.21 = 1,805.08 : x
  2. Step 2: Convert to fraction form
    4,577.71/6,870.21 = 1,805.08/x
  3. Step 3: Cross multiply
    4,577.71x = 6,870.21 × 1,805.08
  4. Step 4: Simplify right side
    4,577.71x = 12,401,235.29
  5. Step 5: Solve for x
    x = 12,401,235.29/4,577.71
  6. Step 6: Final answer
    x = 2,709.05

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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.