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Finding the Fourth Proportional to 4,574.59, 6,307.19 and 3,734.44

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Solution

The fourth proportional to 4,574.59, 6,307.19 and 3,734.44 is: 5,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.59 : 6,307.19 = 3,734.44 : x
  2. Step 2: Convert to fraction form
    4,574.59/6,307.19 = 3,734.44/x
  3. Step 3: Cross multiply
    4,574.59x = 6,307.19 × 3,734.44
  4. Step 4: Simplify right side
    4,574.59x = 23,553,822.62
  5. Step 5: Solve for x
    x = 23,553,822.62/4,574.59
  6. Step 6: Final answer
    x = 5,148.84

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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.