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Finding the Fourth Proportional to 5,152.68, 7,101 and 4,733.64

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Solution

The fourth proportional to 5,152.68, 7,101 and 4,733.64 is: 6,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.68 : 7,101 = 4,733.64 : x
  2. Step 2: Convert to fraction form
    5,152.68/7,101 = 4,733.64/x
  3. Step 3: Cross multiply
    5,152.68x = 7,101 × 4,733.64
  4. Step 4: Simplify right side
    5,152.68x = 33,613,577.64
  5. Step 5: Solve for x
    x = 33,613,577.64/5,152.68
  6. Step 6: Final answer
    x = 6,523.51

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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.