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Finding the Fourth Proportional to 5,572.45, 7,697.46 and 4,461.34

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Solution

The fourth proportional to 5,572.45, 7,697.46 and 4,461.34 is: 6,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.45 : 7,697.46 = 4,461.34 : x
  2. Step 2: Convert to fraction form
    5,572.45/7,697.46 = 4,461.34/x
  3. Step 3: Cross multiply
    5,572.45x = 7,697.46 × 4,461.34
  4. Step 4: Simplify right side
    5,572.45x = 34,340,986.20
  5. Step 5: Solve for x
    x = 34,340,986.20/5,572.45
  6. Step 6: Final answer
    x = 6,162.64

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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.