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Finding the Fourth Proportional to 4,173, 5,758.74 and 2,310

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Solution

The fourth proportional to 4,173, 5,758.74 and 2,310 is: 3,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173 : 5,758.74 = 2,310 : x
  2. Step 2: Convert to fraction form
    4,173/5,758.74 = 2,310/x
  3. Step 3: Cross multiply
    4,173x = 5,758.74 × 2,310
  4. Step 4: Simplify right side
    4,173x = 13,302,689.40
  5. Step 5: Solve for x
    x = 13,302,689.40/4,173
  6. Step 6: Final answer
    x = 3,187.80

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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.