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Finding the Fourth Proportional to 5,282.84, 7,925.36 and 2,509.80

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Solution

The fourth proportional to 5,282.84, 7,925.36 and 2,509.80 is: 3,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.84 : 7,925.36 = 2,509.80 : x
  2. Step 2: Convert to fraction form
    5,282.84/7,925.36 = 2,509.80/x
  3. Step 3: Cross multiply
    5,282.84x = 7,925.36 × 2,509.80
  4. Step 4: Simplify right side
    5,282.84x = 19,891,055.98
  5. Step 5: Solve for x
    x = 19,891,055.98/5,282.84
  6. Step 6: Final answer
    x = 3,765.22

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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.