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Finding the Fourth Proportional to 2,947.02, 4,063.10 and 2,413.93

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Solution

The fourth proportional to 2,947.02, 4,063.10 and 2,413.93 is: 3,328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.02 : 4,063.10 = 2,413.93 : x
  2. Step 2: Convert to fraction form
    2,947.02/4,063.10 = 2,413.93/x
  3. Step 3: Cross multiply
    2,947.02x = 4,063.10 × 2,413.93
  4. Step 4: Simplify right side
    2,947.02x = 9,808,038.98
  5. Step 5: Solve for x
    x = 9,808,038.98/2,947.02
  6. Step 6: Final answer
    x = 3,328.12

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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.