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Finding the Fourth Proportional to 3,419.75, 4,719.71 and 2,075.89

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Solution

The fourth proportional to 3,419.75, 4,719.71 and 2,075.89 is: 2,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.75 : 4,719.71 = 2,075.89 : x
  2. Step 2: Convert to fraction form
    3,419.75/4,719.71 = 2,075.89/x
  3. Step 3: Cross multiply
    3,419.75x = 4,719.71 × 2,075.89
  4. Step 4: Simplify right side
    3,419.75x = 9,797,598.79
  5. Step 5: Solve for x
    x = 9,797,598.79/3,419.75
  6. Step 6: Final answer
    x = 2,865.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.