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Finding the Fourth Proportional to 4,922.22, 6,779.52 and 4,259.10

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Solution

The fourth proportional to 4,922.22, 6,779.52 and 4,259.10 is: 5,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.22 : 6,779.52 = 4,259.10 : x
  2. Step 2: Convert to fraction form
    4,922.22/6,779.52 = 4,259.10/x
  3. Step 3: Cross multiply
    4,922.22x = 6,779.52 × 4,259.10
  4. Step 4: Simplify right side
    4,922.22x = 28,874,653.63
  5. Step 5: Solve for x
    x = 28,874,653.63/4,922.22
  6. Step 6: Final answer
    x = 5,866.19

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1.5x scale

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.