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Finding the Fourth Proportional to 5,666.06, 8,489.48 and 3,470.19

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Solution

The fourth proportional to 5,666.06, 8,489.48 and 3,470.19 is: 5,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.06 : 8,489.48 = 3,470.19 : x
  2. Step 2: Convert to fraction form
    5,666.06/8,489.48 = 3,470.19/x
  3. Step 3: Cross multiply
    5,666.06x = 8,489.48 × 3,470.19
  4. Step 4: Simplify right side
    5,666.06x = 29,460,091.25
  5. Step 5: Solve for x
    x = 29,460,091.25/5,666.06
  6. Step 6: Final answer
    x = 5,199.40

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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.