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Finding the Fourth Proportional to 4,734.62, 7,055.77 and 4,592.10

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Solution

The fourth proportional to 4,734.62, 7,055.77 and 4,592.10 is: 6,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.62 : 7,055.77 = 4,592.10 : x
  2. Step 2: Convert to fraction form
    4,734.62/7,055.77 = 4,592.10/x
  3. Step 3: Cross multiply
    4,734.62x = 7,055.77 × 4,592.10
  4. Step 4: Simplify right side
    4,734.62x = 32,400,801.42
  5. Step 5: Solve for x
    x = 32,400,801.42/4,734.62
  6. Step 6: Final answer
    x = 6,843.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.