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Finding the Fourth Proportional to 4,188.06, 5,779.59 and 2,419.82

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Solution

The fourth proportional to 4,188.06, 5,779.59 and 2,419.82 is: 3,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.06 : 5,779.59 = 2,419.82 : x
  2. Step 2: Convert to fraction form
    4,188.06/5,779.59 = 2,419.82/x
  3. Step 3: Cross multiply
    4,188.06x = 5,779.59 × 2,419.82
  4. Step 4: Simplify right side
    4,188.06x = 13,985,567.47
  5. Step 5: Solve for x
    x = 13,985,567.47/4,188.06
  6. Step 6: Final answer
    x = 3,339.39

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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.