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Finding the Fourth Proportional to 5,461.22, 7,534.52 and 3,102.00

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Solution

The fourth proportional to 5,461.22, 7,534.52 and 3,102.00 is: 4,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.22 : 7,534.52 = 3,102.00 : x
  2. Step 2: Convert to fraction form
    5,461.22/7,534.52 = 3,102.00/x
  3. Step 3: Cross multiply
    5,461.22x = 7,534.52 × 3,102.00
  4. Step 4: Simplify right side
    5,461.22x = 23,372,048.91
  5. Step 5: Solve for x
    x = 23,372,048.91/5,461.22
  6. Step 6: Final answer
    x = 4,279.64

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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.