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Finding the Fourth Proportional to 4,221, 5,824.98 and 2,358

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Solution

The fourth proportional to 4,221, 5,824.98 and 2,358 is: 3,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221 : 5,824.98 = 2,358 : x
  2. Step 2: Convert to fraction form
    4,221/5,824.98 = 2,358/x
  3. Step 3: Cross multiply
    4,221x = 5,824.98 × 2,358
  4. Step 4: Simplify right side
    4,221x = 13,735,302.84
  5. Step 5: Solve for x
    x = 13,735,302.84/4,221
  6. Step 6: Final answer
    x = 3,254.04

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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.