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Finding the Fourth Proportional to 5,358.15, 7,406.64 and 4,468.77

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Solution

The fourth proportional to 5,358.15, 7,406.64 and 4,468.77 is: 6,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.15 : 7,406.64 = 4,468.77 : x
  2. Step 2: Convert to fraction form
    5,358.15/7,406.64 = 4,468.77/x
  3. Step 3: Cross multiply
    5,358.15x = 7,406.64 × 4,468.77
  4. Step 4: Simplify right side
    5,358.15x = 33,098,570.63
  5. Step 5: Solve for x
    x = 33,098,570.63/5,358.15
  6. Step 6: Final answer
    x = 6,177.24

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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.