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Finding the Fourth Proportional to 3,413.04, 4,710 and 2,016.08

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Solution

The fourth proportional to 3,413.04, 4,710 and 2,016.08 is: 2,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.04 : 4,710 = 2,016.08 : x
  2. Step 2: Convert to fraction form
    3,413.04/4,710 = 2,016.08/x
  3. Step 3: Cross multiply
    3,413.04x = 4,710 × 2,016.08
  4. Step 4: Simplify right side
    3,413.04x = 9,495,736.80
  5. Step 5: Solve for x
    x = 9,495,736.80/3,413.04
  6. Step 6: Final answer
    x = 2,782.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.