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Finding the Fourth Proportional to 3,412.51, 5,113.22 and 1,330.16

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Solution

The fourth proportional to 3,412.51, 5,113.22 and 1,330.16 is: 1,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.51 : 5,113.22 = 1,330.16 : x
  2. Step 2: Convert to fraction form
    3,412.51/5,113.22 = 1,330.16/x
  3. Step 3: Cross multiply
    3,412.51x = 5,113.22 × 1,330.16
  4. Step 4: Simplify right side
    3,412.51x = 6,801,368.50
  5. Step 5: Solve for x
    x = 6,801,368.50/3,412.51
  6. Step 6: Final answer
    x = 1,993.07

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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.