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Finding the Fourth Proportional to 3,416.84, 5,129.58 and 2,907.08

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Solution

The fourth proportional to 3,416.84, 5,129.58 and 2,907.08 is: 4,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.84 : 5,129.58 = 2,907.08 : x
  2. Step 2: Convert to fraction form
    3,416.84/5,129.58 = 2,907.08/x
  3. Step 3: Cross multiply
    3,416.84x = 5,129.58 × 2,907.08
  4. Step 4: Simplify right side
    3,416.84x = 14,912,099.43
  5. Step 5: Solve for x
    x = 14,912,099.43/3,416.84
  6. Step 6: Final answer
    x = 4,364.30

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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.