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Finding the Fourth Proportional to 5,811.16, 8,019.26 and 3,421.40

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Solution

The fourth proportional to 5,811.16, 8,019.26 and 3,421.40 is: 4,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.16 : 8,019.26 = 3,421.40 : x
  2. Step 2: Convert to fraction form
    5,811.16/8,019.26 = 3,421.40/x
  3. Step 3: Cross multiply
    5,811.16x = 8,019.26 × 3,421.40
  4. Step 4: Simplify right side
    5,811.16x = 27,437,096.16
  5. Step 5: Solve for x
    x = 27,437,096.16/5,811.16
  6. Step 6: Final answer
    x = 4,721.45

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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.