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Finding the Fourth Proportional to 5,260.66, 7,887.36 and 3,506.20

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Solution

The fourth proportional to 5,260.66, 7,887.36 and 3,506.20 is: 5,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.66 : 7,887.36 = 3,506.20 : x
  2. Step 2: Convert to fraction form
    5,260.66/7,887.36 = 3,506.20/x
  3. Step 3: Cross multiply
    5,260.66x = 7,887.36 × 3,506.20
  4. Step 4: Simplify right side
    5,260.66x = 27,654,661.63
  5. Step 5: Solve for x
    x = 27,654,661.63/5,260.66
  6. Step 6: Final answer
    x = 5,256.88

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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.