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Finding the Fourth Proportional to 4,370.96, 6,557.12 and 1,774.08

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Solution

The fourth proportional to 4,370.96, 6,557.12 and 1,774.08 is: 2,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,370.96 : 6,557.12 = 1,774.08 : x
  2. Step 2: Convert to fraction form
    4,370.96/6,557.12 = 1,774.08/x
  3. Step 3: Cross multiply
    4,370.96x = 6,557.12 × 1,774.08
  4. Step 4: Simplify right side
    4,370.96x = 11,632,855.45
  5. Step 5: Solve for x
    x = 11,632,855.45/4,370.96
  6. Step 6: Final answer
    x = 2,661.40

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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.