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Finding the Fourth Proportional to 5,774.72, 8,658.84 and 3,435.44

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Solution

The fourth proportional to 5,774.72, 8,658.84 and 3,435.44 is: 5,151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.72 : 8,658.84 = 3,435.44 : x
  2. Step 2: Convert to fraction form
    5,774.72/8,658.84 = 3,435.44/x
  3. Step 3: Cross multiply
    5,774.72x = 8,658.84 × 3,435.44
  4. Step 4: Simplify right side
    5,774.72x = 29,746,925.29
  5. Step 5: Solve for x
    x = 29,746,925.29/5,774.72
  6. Step 6: Final answer
    x = 5,151.23

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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.