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Finding the Fourth Proportional to 3,114.04, 4,671.60 and 3,110.80

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Solution

The fourth proportional to 3,114.04, 4,671.60 and 3,110.80 is: 4,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.04 : 4,671.60 = 3,110.80 : x
  2. Step 2: Convert to fraction form
    3,114.04/4,671.60 = 3,110.80/x
  3. Step 3: Cross multiply
    3,114.04x = 4,671.60 × 3,110.80
  4. Step 4: Simplify right side
    3,114.04x = 14,532,413.28
  5. Step 5: Solve for x
    x = 14,532,413.28/3,114.04
  6. Step 6: Final answer
    x = 4,666.74

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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.