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Finding the Fourth Proportional to 5,152.64, 7,109.46 and 3,477.16

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Solution

The fourth proportional to 5,152.64, 7,109.46 and 3,477.16 is: 4,797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.64 : 7,109.46 = 3,477.16 : x
  2. Step 2: Convert to fraction form
    5,152.64/7,109.46 = 3,477.16/x
  3. Step 3: Cross multiply
    5,152.64x = 7,109.46 × 3,477.16
  4. Step 4: Simplify right side
    5,152.64x = 24,720,729.93
  5. Step 5: Solve for x
    x = 24,720,729.93/5,152.64
  6. Step 6: Final answer
    x = 4,797.68

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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.