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Finding the Fourth Proportional to 4,242.47, 5,852.15 and 2,646.34

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Solution

The fourth proportional to 4,242.47, 5,852.15 and 2,646.34 is: 3,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.47 : 5,852.15 = 2,646.34 : x
  2. Step 2: Convert to fraction form
    4,242.47/5,852.15 = 2,646.34/x
  3. Step 3: Cross multiply
    4,242.47x = 5,852.15 × 2,646.34
  4. Step 4: Simplify right side
    4,242.47x = 15,486,778.63
  5. Step 5: Solve for x
    x = 15,486,778.63/4,242.47
  6. Step 6: Final answer
    x = 3,650.42

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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.