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Finding the Fourth Proportional to 4,730.88, 7,094.16 and 2,783.64

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Solution

The fourth proportional to 4,730.88, 7,094.16 and 2,783.64 is: 4,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.88 : 7,094.16 = 2,783.64 : x
  2. Step 2: Convert to fraction form
    4,730.88/7,094.16 = 2,783.64/x
  3. Step 3: Cross multiply
    4,730.88x = 7,094.16 × 2,783.64
  4. Step 4: Simplify right side
    4,730.88x = 19,747,587.54
  5. Step 5: Solve for x
    x = 19,747,587.54/4,730.88
  6. Step 6: Final answer
    x = 4,174.19

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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.