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Finding the Fourth Proportional to 4,547.91, 6,274.74 and 2,777.67

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Solution

The fourth proportional to 4,547.91, 6,274.74 and 2,777.67 is: 3,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.91 : 6,274.74 = 2,777.67 : x
  2. Step 2: Convert to fraction form
    4,547.91/6,274.74 = 2,777.67/x
  3. Step 3: Cross multiply
    4,547.91x = 6,274.74 × 2,777.67
  4. Step 4: Simplify right side
    4,547.91x = 17,429,157.06
  5. Step 5: Solve for x
    x = 17,429,157.06/4,547.91
  6. Step 6: Final answer
    x = 3,832.34

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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.