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Finding the Fourth Proportional to 3,029.76, 4,539.04 and 1,567.36

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Solution

The fourth proportional to 3,029.76, 4,539.04 and 1,567.36 is: 2,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.76 : 4,539.04 = 1,567.36 : x
  2. Step 2: Convert to fraction form
    3,029.76/4,539.04 = 1,567.36/x
  3. Step 3: Cross multiply
    3,029.76x = 4,539.04 × 1,567.36
  4. Step 4: Simplify right side
    3,029.76x = 7,114,309.73
  5. Step 5: Solve for x
    x = 7,114,309.73/3,029.76
  6. Step 6: Final answer
    x = 2,348.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.