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Finding the Fourth Proportional to 5,054.72, 7,612.52 and 4,477

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Solution

The fourth proportional to 5,054.72, 7,612.52 and 4,477 is: 6,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.72 : 7,612.52 = 4,477 : x
  2. Step 2: Convert to fraction form
    5,054.72/7,612.52 = 4,477/x
  3. Step 3: Cross multiply
    5,054.72x = 7,612.52 × 4,477
  4. Step 4: Simplify right side
    5,054.72x = 34,081,252.04
  5. Step 5: Solve for x
    x = 34,081,252.04/5,054.72
  6. Step 6: Final answer
    x = 6,742.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.