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Finding the Fourth Proportional to 3,902.95, 5,386.59 and 2,509.75

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Solution

The fourth proportional to 3,902.95, 5,386.59 and 2,509.75 is: 3,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.95 : 5,386.59 = 2,509.75 : x
  2. Step 2: Convert to fraction form
    3,902.95/5,386.59 = 2,509.75/x
  3. Step 3: Cross multiply
    3,902.95x = 5,386.59 × 2,509.75
  4. Step 4: Simplify right side
    3,902.95x = 13,518,954.77
  5. Step 5: Solve for x
    x = 13,518,954.77/3,902.95
  6. Step 6: Final answer
    x = 3,463.78

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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.