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Finding the Fourth Proportional to 4,702.14, 7,055.06 and 1,930.14

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Solution

The fourth proportional to 4,702.14, 7,055.06 and 1,930.14 is: 2,895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.14 : 7,055.06 = 1,930.14 : x
  2. Step 2: Convert to fraction form
    4,702.14/7,055.06 = 1,930.14/x
  3. Step 3: Cross multiply
    4,702.14x = 7,055.06 × 1,930.14
  4. Step 4: Simplify right side
    4,702.14x = 13,617,243.86
  5. Step 5: Solve for x
    x = 13,617,243.86/4,702.14
  6. Step 6: Final answer
    x = 2,895.97

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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.