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Finding the Fourth Proportional to 4,421, 6,101.28 and 2,558

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Solution

The fourth proportional to 4,421, 6,101.28 and 2,558 is: 3,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,421 : 6,101.28 = 2,558 : x
  2. Step 2: Convert to fraction form
    4,421/6,101.28 = 2,558/x
  3. Step 3: Cross multiply
    4,421x = 6,101.28 × 2,558
  4. Step 4: Simplify right side
    4,421x = 15,607,074.24
  5. Step 5: Solve for x
    x = 15,607,074.24/4,421
  6. Step 6: Final answer
    x = 3,530.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.