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Finding the Fourth Proportional to 4,615.12, 6,922.70 and 1,152.37

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Solution

The fourth proportional to 4,615.12, 6,922.70 and 1,152.37 is: 1,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.12 : 6,922.70 = 1,152.37 : x
  2. Step 2: Convert to fraction form
    4,615.12/6,922.70 = 1,152.37/x
  3. Step 3: Cross multiply
    4,615.12x = 6,922.70 × 1,152.37
  4. Step 4: Simplify right side
    4,615.12x = 7,977,506.04
  5. Step 5: Solve for x
    x = 7,977,506.04/4,615.12
  6. Step 6: Final answer
    x = 1,728.56

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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.