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Finding the Fourth Proportional to 4,651.76, 6,977.64 and 2,054.18

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Solution

The fourth proportional to 4,651.76, 6,977.64 and 2,054.18 is: 3,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.76 : 6,977.64 = 2,054.18 : x
  2. Step 2: Convert to fraction form
    4,651.76/6,977.64 = 2,054.18/x
  3. Step 3: Cross multiply
    4,651.76x = 6,977.64 × 2,054.18
  4. Step 4: Simplify right side
    4,651.76x = 14,333,328.54
  5. Step 5: Solve for x
    x = 14,333,328.54/4,651.76
  6. Step 6: Final answer
    x = 3,081.27

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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.