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Finding the Fourth Proportional to 5,215.40, 7,823.02 and 1,266.68

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Solution

The fourth proportional to 5,215.40, 7,823.02 and 1,266.68 is: 1,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.40 : 7,823.02 = 1,266.68 : x
  2. Step 2: Convert to fraction form
    5,215.40/7,823.02 = 1,266.68/x
  3. Step 3: Cross multiply
    5,215.40x = 7,823.02 × 1,266.68
  4. Step 4: Simplify right side
    5,215.40x = 9,909,284.11
  5. Step 5: Solve for x
    x = 9,909,284.11/5,215.40
  6. Step 6: Final answer
    x = 1,900.01

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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.