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Finding the Fourth Proportional to 3,430.04, 4,733.54 and 1,937.96

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Solution

The fourth proportional to 3,430.04, 4,733.54 and 1,937.96 is: 2,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.04 : 4,733.54 = 1,937.96 : x
  2. Step 2: Convert to fraction form
    3,430.04/4,733.54 = 1,937.96/x
  3. Step 3: Cross multiply
    3,430.04x = 4,733.54 × 1,937.96
  4. Step 4: Simplify right side
    3,430.04x = 9,173,413.32
  5. Step 5: Solve for x
    x = 9,173,413.32/3,430.04
  6. Step 6: Final answer
    x = 2,674.44

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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.