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Finding the Fourth Proportional to 4,492, 6,199.60 and 4,295.20

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Solution

The fourth proportional to 4,492, 6,199.60 and 4,295.20 is: 5,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492 : 6,199.60 = 4,295.20 : x
  2. Step 2: Convert to fraction form
    4,492/6,199.60 = 4,295.20/x
  3. Step 3: Cross multiply
    4,492x = 6,199.60 × 4,295.20
  4. Step 4: Simplify right side
    4,492x = 26,628,521.92
  5. Step 5: Solve for x
    x = 26,628,521.92/4,492
  6. Step 6: Final answer
    x = 5,927.99

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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.