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Finding the Fourth Proportional to 3,775.88, 5,208.06 and 2,599.76

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Solution

The fourth proportional to 3,775.88, 5,208.06 and 2,599.76 is: 3,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.88 : 5,208.06 = 2,599.76 : x
  2. Step 2: Convert to fraction form
    3,775.88/5,208.06 = 2,599.76/x
  3. Step 3: Cross multiply
    3,775.88x = 5,208.06 × 2,599.76
  4. Step 4: Simplify right side
    3,775.88x = 13,539,706.07
  5. Step 5: Solve for x
    x = 13,539,706.07/3,775.88
  6. Step 6: Final answer
    x = 3,585.84

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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.