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Finding the Fourth Proportional to 3,053.33, 4,579.47 and 1,409.74

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Solution

The fourth proportional to 3,053.33, 4,579.47 and 1,409.74 is: 2,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.33 : 4,579.47 = 1,409.74 : x
  2. Step 2: Convert to fraction form
    3,053.33/4,579.47 = 1,409.74/x
  3. Step 3: Cross multiply
    3,053.33x = 4,579.47 × 1,409.74
  4. Step 4: Simplify right side
    3,053.33x = 6,455,862.04
  5. Step 5: Solve for x
    x = 6,455,862.04/3,053.33
  6. Step 6: Final answer
    x = 2,114.37

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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.