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Finding the Fourth Proportional to 5,763.66, 8,646.57 and 2,476.14

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Solution

The fourth proportional to 5,763.66, 8,646.57 and 2,476.14 is: 3,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.66 : 8,646.57 = 2,476.14 : x
  2. Step 2: Convert to fraction form
    5,763.66/8,646.57 = 2,476.14/x
  3. Step 3: Cross multiply
    5,763.66x = 8,646.57 × 2,476.14
  4. Step 4: Simplify right side
    5,763.66x = 21,410,117.84
  5. Step 5: Solve for x
    x = 21,410,117.84/5,763.66
  6. Step 6: Final answer
    x = 3,714.67

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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.