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Finding the Fourth Proportional to 5,291.55, 7,930.31 and 4,415.77

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Solution

The fourth proportional to 5,291.55, 7,930.31 and 4,415.77 is: 6,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.55 : 7,930.31 = 4,415.77 : x
  2. Step 2: Convert to fraction form
    5,291.55/7,930.31 = 4,415.77/x
  3. Step 3: Cross multiply
    5,291.55x = 7,930.31 × 4,415.77
  4. Step 4: Simplify right side
    5,291.55x = 35,018,368.21
  5. Step 5: Solve for x
    x = 35,018,368.21/5,291.55
  6. Step 6: Final answer
    x = 6,617.79

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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.