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Finding the Fourth Proportional to 3,053.58, 4,577.16 and 1,735.68

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Solution

The fourth proportional to 3,053.58, 4,577.16 and 1,735.68 is: 2,601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.58 : 4,577.16 = 1,735.68 : x
  2. Step 2: Convert to fraction form
    3,053.58/4,577.16 = 1,735.68/x
  3. Step 3: Cross multiply
    3,053.58x = 4,577.16 × 1,735.68
  4. Step 4: Simplify right side
    3,053.58x = 7,944,485.07
  5. Step 5: Solve for x
    x = 7,944,485.07/3,053.58
  6. Step 6: Final answer
    x = 2,601.70

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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.