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Finding the Fourth Proportional to 3,053.57, 4,570.54 and 2,765.84

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Solution

The fourth proportional to 3,053.57, 4,570.54 and 2,765.84 is: 4,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.57 : 4,570.54 = 2,765.84 : x
  2. Step 2: Convert to fraction form
    3,053.57/4,570.54 = 2,765.84/x
  3. Step 3: Cross multiply
    3,053.57x = 4,570.54 × 2,765.84
  4. Step 4: Simplify right side
    3,053.57x = 12,641,386.87
  5. Step 5: Solve for x
    x = 12,641,386.87/3,053.57
  6. Step 6: Final answer
    x = 4,139.87

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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.