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Finding the Fourth Proportional to 4,647.77, 6,972.66 and 1,874.53

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Solution

The fourth proportional to 4,647.77, 6,972.66 and 1,874.53 is: 2,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.77 : 6,972.66 = 1,874.53 : x
  2. Step 2: Convert to fraction form
    4,647.77/6,972.66 = 1,874.53/x
  3. Step 3: Cross multiply
    4,647.77x = 6,972.66 × 1,874.53
  4. Step 4: Simplify right side
    4,647.77x = 13,070,460.35
  5. Step 5: Solve for x
    x = 13,070,460.35/4,647.77
  6. Step 6: Final answer
    x = 2,812.20

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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.