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Finding the Fourth Proportional to 4,419.84, 6,629.02 and 1,457.37

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Solution

The fourth proportional to 4,419.84, 6,629.02 and 1,457.37 is: 2,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,419.84 : 6,629.02 = 1,457.37 : x
  2. Step 2: Convert to fraction form
    4,419.84/6,629.02 = 1,457.37/x
  3. Step 3: Cross multiply
    4,419.84x = 6,629.02 × 1,457.37
  4. Step 4: Simplify right side
    4,419.84x = 9,660,894.45
  5. Step 5: Solve for x
    x = 9,660,894.45/4,419.84
  6. Step 6: Final answer
    x = 2,185.80

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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.