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Finding the Fourth Proportional to 4,164, 5,746.32 and 2,301

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Solution

The fourth proportional to 4,164, 5,746.32 and 2,301 is: 3,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164 : 5,746.32 = 2,301 : x
  2. Step 2: Convert to fraction form
    4,164/5,746.32 = 2,301/x
  3. Step 3: Cross multiply
    4,164x = 5,746.32 × 2,301
  4. Step 4: Simplify right side
    4,164x = 13,222,282.32
  5. Step 5: Solve for x
    x = 13,222,282.32/4,164
  6. Step 6: Final answer
    x = 3,175.38

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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.