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Finding the Fourth Proportional to 3,718, 5,130.84 and 2,225.98

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Solution

The fourth proportional to 3,718, 5,130.84 and 2,225.98 is: 3,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718 : 5,130.84 = 2,225.98 : x
  2. Step 2: Convert to fraction form
    3,718/5,130.84 = 2,225.98/x
  3. Step 3: Cross multiply
    3,718x = 5,130.84 × 2,225.98
  4. Step 4: Simplify right side
    3,718x = 11,421,147.22
  5. Step 5: Solve for x
    x = 11,421,147.22/3,718
  6. Step 6: Final answer
    x = 3,071.85

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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.