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Finding the Fourth Proportional to 4,468.74, 6,706.47 and 3,047.19

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Solution

The fourth proportional to 4,468.74, 6,706.47 and 3,047.19 is: 4,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.74 : 6,706.47 = 3,047.19 : x
  2. Step 2: Convert to fraction form
    4,468.74/6,706.47 = 3,047.19/x
  3. Step 3: Cross multiply
    4,468.74x = 6,706.47 × 3,047.19
  4. Step 4: Simplify right side
    4,468.74x = 20,435,888.32
  5. Step 5: Solve for x
    x = 20,435,888.32/4,468.74
  6. Step 6: Final answer
    x = 4,573.08

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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.