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Finding the Fourth Proportional to 4,607.54, 6,911.70 and 2,012.30

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Solution

The fourth proportional to 4,607.54, 6,911.70 and 2,012.30 is: 3,018.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.54 : 6,911.70 = 2,012.30 : x
  2. Step 2: Convert to fraction form
    4,607.54/6,911.70 = 2,012.30/x
  3. Step 3: Cross multiply
    4,607.54x = 6,911.70 × 2,012.30
  4. Step 4: Simplify right side
    4,607.54x = 13,908,413.91
  5. Step 5: Solve for x
    x = 13,908,413.91/4,607.54
  6. Step 6: Final answer
    x = 3,018.62

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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.