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Finding the Fourth Proportional to 5,642.77, 8,466.18 and 2,522.51

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Solution

The fourth proportional to 5,642.77, 8,466.18 and 2,522.51 is: 3,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.77 : 8,466.18 = 2,522.51 : x
  2. Step 2: Convert to fraction form
    5,642.77/8,466.18 = 2,522.51/x
  3. Step 3: Cross multiply
    5,642.77x = 8,466.18 × 2,522.51
  4. Step 4: Simplify right side
    5,642.77x = 21,356,011.10
  5. Step 5: Solve for x
    x = 21,356,011.10/5,642.77
  6. Step 6: Final answer
    x = 3,784.67

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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.