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Finding the Fourth Proportional to 4,260, 5,878.83 and 2,397

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Solution

The fourth proportional to 4,260, 5,878.83 and 2,397 is: 3,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,260 : 5,878.83 = 2,397 : x
  2. Step 2: Convert to fraction form
    4,260/5,878.83 = 2,397/x
  3. Step 3: Cross multiply
    4,260x = 5,878.83 × 2,397
  4. Step 4: Simplify right side
    4,260x = 14,091,555.51
  5. Step 5: Solve for x
    x = 14,091,555.51/4,260
  6. Step 6: Final answer
    x = 3,307.88

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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.