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Finding the Fourth Proportional to 3,465.35, 5,197.70 and 1,384.80

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Solution

The fourth proportional to 3,465.35, 5,197.70 and 1,384.80 is: 2,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.35 : 5,197.70 = 1,384.80 : x
  2. Step 2: Convert to fraction form
    3,465.35/5,197.70 = 1,384.80/x
  3. Step 3: Cross multiply
    3,465.35x = 5,197.70 × 1,384.80
  4. Step 4: Simplify right side
    3,465.35x = 7,197,768.04
  5. Step 5: Solve for x
    x = 7,197,768.04/3,465.35
  6. Step 6: Final answer
    x = 2,077.07

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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.