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Finding the Fourth Proportional to 4,647.93, 6,971.06 and 1,874.49

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Solution

The fourth proportional to 4,647.93, 6,971.06 and 1,874.49 is: 2,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.93 : 6,971.06 = 1,874.49 : x
  2. Step 2: Convert to fraction form
    4,647.93/6,971.06 = 1,874.49/x
  3. Step 3: Cross multiply
    4,647.93x = 6,971.06 × 1,874.49
  4. Step 4: Simplify right side
    4,647.93x = 13,067,172.89
  5. Step 5: Solve for x
    x = 13,067,172.89/4,647.93
  6. Step 6: Final answer
    x = 2,811.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.