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Finding the Fourth Proportional to 5,656.48, 8,477.73 and 4,101.82

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Solution

The fourth proportional to 5,656.48, 8,477.73 and 4,101.82 is: 6,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.48 : 8,477.73 = 4,101.82 : x
  2. Step 2: Convert to fraction form
    5,656.48/8,477.73 = 4,101.82/x
  3. Step 3: Cross multiply
    5,656.48x = 8,477.73 × 4,101.82
  4. Step 4: Simplify right side
    5,656.48x = 34,774,122.47
  5. Step 5: Solve for x
    x = 34,774,122.47/5,656.48
  6. Step 6: Final answer
    x = 6,147.66

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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.