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Finding the Fourth Proportional to 5,762.25, 8,643.60 and 2,473.07

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Solution

The fourth proportional to 5,762.25, 8,643.60 and 2,473.07 is: 3,709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.25 : 8,643.60 = 2,473.07 : x
  2. Step 2: Convert to fraction form
    5,762.25/8,643.60 = 2,473.07/x
  3. Step 3: Cross multiply
    5,762.25x = 8,643.60 × 2,473.07
  4. Step 4: Simplify right side
    5,762.25x = 21,376,184.63
  5. Step 5: Solve for x
    x = 21,376,184.63/5,762.25
  6. Step 6: Final answer
    x = 3,709.69

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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.