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Finding the Fourth Proportional to 5,535.36, 8,300.16 and 2,070

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Solution

The fourth proportional to 5,535.36, 8,300.16 and 2,070 is: 3,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.36 : 8,300.16 = 2,070 : x
  2. Step 2: Convert to fraction form
    5,535.36/8,300.16 = 2,070/x
  3. Step 3: Cross multiply
    5,535.36x = 8,300.16 × 2,070
  4. Step 4: Simplify right side
    5,535.36x = 17,181,331.20
  5. Step 5: Solve for x
    x = 17,181,331.20/5,535.36
  6. Step 6: Final answer
    x = 3,103.92

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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.