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Finding the Fourth Proportional to 3,602.22, 4,969.72 and 2,421.42

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Solution

The fourth proportional to 3,602.22, 4,969.72 and 2,421.42 is: 3,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.22 : 4,969.72 = 2,421.42 : x
  2. Step 2: Convert to fraction form
    3,602.22/4,969.72 = 2,421.42/x
  3. Step 3: Cross multiply
    3,602.22x = 4,969.72 × 2,421.42
  4. Step 4: Simplify right side
    3,602.22x = 12,033,779.40
  5. Step 5: Solve for x
    x = 12,033,779.40/3,602.22
  6. Step 6: Final answer
    x = 3,340.66

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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.