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Finding the Fourth Proportional to 5,720.22, 7,894.80 and 3,364.20

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Solution

The fourth proportional to 5,720.22, 7,894.80 and 3,364.20 is: 4,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.22 : 7,894.80 = 3,364.20 : x
  2. Step 2: Convert to fraction form
    5,720.22/7,894.80 = 3,364.20/x
  3. Step 3: Cross multiply
    5,720.22x = 7,894.80 × 3,364.20
  4. Step 4: Simplify right side
    5,720.22x = 26,559,686.16
  5. Step 5: Solve for x
    x = 26,559,686.16/5,720.22
  6. Step 6: Final answer
    x = 4,643.12

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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.