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Finding the Fourth Proportional to 5,718.84, 8,575.38 and 2,430.12

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Solution

The fourth proportional to 5,718.84, 8,575.38 and 2,430.12 is: 3,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.84 : 8,575.38 = 2,430.12 : x
  2. Step 2: Convert to fraction form
    5,718.84/8,575.38 = 2,430.12/x
  3. Step 3: Cross multiply
    5,718.84x = 8,575.38 × 2,430.12
  4. Step 4: Simplify right side
    5,718.84x = 20,839,202.45
  5. Step 5: Solve for x
    x = 20,839,202.45/5,718.84
  6. Step 6: Final answer
    x = 3,643.96

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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.