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Finding the Fourth Proportional to 3,412.93, 4,710.74 and 2,087.75

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Solution

The fourth proportional to 3,412.93, 4,710.74 and 2,087.75 is: 2,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.93 : 4,710.74 = 2,087.75 : x
  2. Step 2: Convert to fraction form
    3,412.93/4,710.74 = 2,087.75/x
  3. Step 3: Cross multiply
    3,412.93x = 4,710.74 × 2,087.75
  4. Step 4: Simplify right side
    3,412.93x = 9,834,830.10
  5. Step 5: Solve for x
    x = 9,834,830.10/3,412.93
  6. Step 6: Final answer
    x = 2,881.64

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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.