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Finding the Fourth Proportional to 3,473.65, 5,210.93 and 1,132.83

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Solution

The fourth proportional to 3,473.65, 5,210.93 and 1,132.83 is: 1,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.65 : 5,210.93 = 1,132.83 : x
  2. Step 2: Convert to fraction form
    3,473.65/5,210.93 = 1,132.83/x
  3. Step 3: Cross multiply
    3,473.65x = 5,210.93 × 1,132.83
  4. Step 4: Simplify right side
    3,473.65x = 5,903,079.14
  5. Step 5: Solve for x
    x = 5,903,079.14/3,473.65
  6. Step 6: Final answer
    x = 1,699.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.