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Finding the Fourth Proportional to 5,106.68, 7,656.57 and 1,774.07

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Solution

The fourth proportional to 5,106.68, 7,656.57 and 1,774.07 is: 2,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.68 : 7,656.57 = 1,774.07 : x
  2. Step 2: Convert to fraction form
    5,106.68/7,656.57 = 1,774.07/x
  3. Step 3: Cross multiply
    5,106.68x = 7,656.57 × 1,774.07
  4. Step 4: Simplify right side
    5,106.68x = 13,583,291.14
  5. Step 5: Solve for x
    x = 13,583,291.14/5,106.68
  6. Step 6: Final answer
    x = 2,659.91

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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.