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Finding the Fourth Proportional to 4,179, 5,767.20 and 2,316

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Solution

The fourth proportional to 4,179, 5,767.20 and 2,316 is: 3,196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179 : 5,767.20 = 2,316 : x
  2. Step 2: Convert to fraction form
    4,179/5,767.20 = 2,316/x
  3. Step 3: Cross multiply
    4,179x = 5,767.20 × 2,316
  4. Step 4: Simplify right side
    4,179x = 13,356,835.20
  5. Step 5: Solve for x
    x = 13,356,835.20/4,179
  6. Step 6: Final answer
    x = 3,196.18

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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.