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Finding the Fourth Proportional to 4,712.16, 7,068.32 and 3,833.68

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Solution

The fourth proportional to 4,712.16, 7,068.32 and 3,833.68 is: 5,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.16 : 7,068.32 = 3,833.68 : x
  2. Step 2: Convert to fraction form
    4,712.16/7,068.32 = 3,833.68/x
  3. Step 3: Cross multiply
    4,712.16x = 7,068.32 × 3,833.68
  4. Step 4: Simplify right side
    4,712.16x = 27,097,677.02
  5. Step 5: Solve for x
    x = 27,097,677.02/4,712.16
  6. Step 6: Final answer
    x = 5,750.59

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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.