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Finding the Fourth Proportional to 3,430.08, 4,733.16 and 2,103.84

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Solution

The fourth proportional to 3,430.08, 4,733.16 and 2,103.84 is: 2,903.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.08 : 4,733.16 = 2,103.84 : x
  2. Step 2: Convert to fraction form
    3,430.08/4,733.16 = 2,103.84/x
  3. Step 3: Cross multiply
    3,430.08x = 4,733.16 × 2,103.84
  4. Step 4: Simplify right side
    3,430.08x = 9,957,811.33
  5. Step 5: Solve for x
    x = 9,957,811.33/3,430.08
  6. Step 6: Final answer
    x = 2,903.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.