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Finding the Fourth Proportional to 3,465.35, 5,200.08 and 1,275.62

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Solution

The fourth proportional to 3,465.35, 5,200.08 and 1,275.62 is: 1,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.35 : 5,200.08 = 1,275.62 : x
  2. Step 2: Convert to fraction form
    3,465.35/5,200.08 = 1,275.62/x
  3. Step 3: Cross multiply
    3,465.35x = 5,200.08 × 1,275.62
  4. Step 4: Simplify right side
    3,465.35x = 6,633,302.44
  5. Step 5: Solve for x
    x = 6,633,302.44/3,465.35
  6. Step 6: Final answer
    x = 1,914.18

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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.