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Finding the Fourth Proportional to 5,775.57, 7,967.12 and 3,417.26

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Solution

The fourth proportional to 5,775.57, 7,967.12 and 3,417.26 is: 4,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.57 : 7,967.12 = 3,417.26 : x
  2. Step 2: Convert to fraction form
    5,775.57/7,967.12 = 3,417.26/x
  3. Step 3: Cross multiply
    5,775.57x = 7,967.12 × 3,417.26
  4. Step 4: Simplify right side
    5,775.57x = 27,225,663.57
  5. Step 5: Solve for x
    x = 27,225,663.57/5,775.57
  6. Step 6: Final answer
    x = 4,713.94

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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.