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Finding the Fourth Proportional to 5,774.43, 8,661.64 and 4,460.10

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Solution

The fourth proportional to 5,774.43, 8,661.64 and 4,460.10 is: 6,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.43 : 8,661.64 = 4,460.10 : x
  2. Step 2: Convert to fraction form
    5,774.43/8,661.64 = 4,460.10/x
  3. Step 3: Cross multiply
    5,774.43x = 8,661.64 × 4,460.10
  4. Step 4: Simplify right side
    5,774.43x = 38,631,780.56
  5. Step 5: Solve for x
    x = 38,631,780.56/5,774.43
  6. Step 6: Final answer
    x = 6,690.15

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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.