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Finding the Fourth Proportional to 4,615.16, 6,922.71 and 1,152.41

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Solution

The fourth proportional to 4,615.16, 6,922.71 and 1,152.41 is: 1,728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.16 : 6,922.71 = 1,152.41 : x
  2. Step 2: Convert to fraction form
    4,615.16/6,922.71 = 1,152.41/x
  3. Step 3: Cross multiply
    4,615.16x = 6,922.71 × 1,152.41
  4. Step 4: Simplify right side
    4,615.16x = 7,977,765.62
  5. Step 5: Solve for x
    x = 7,977,765.62/4,615.16
  6. Step 6: Final answer
    x = 1,728.60

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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.