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Finding the Fourth Proportional to 5,699.16, 7,864.02 and 3,461.13

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Solution

The fourth proportional to 5,699.16, 7,864.02 and 3,461.13 is: 4,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.16 : 7,864.02 = 3,461.13 : x
  2. Step 2: Convert to fraction form
    5,699.16/7,864.02 = 3,461.13/x
  3. Step 3: Cross multiply
    5,699.16x = 7,864.02 × 3,461.13
  4. Step 4: Simplify right side
    5,699.16x = 27,218,395.54
  5. Step 5: Solve for x
    x = 27,218,395.54/5,699.16
  6. Step 6: Final answer
    x = 4,775.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.