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Finding the Fourth Proportional to 5,427.64, 7,485.78 and 3,658.60

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Solution

The fourth proportional to 5,427.64, 7,485.78 and 3,658.60 is: 5,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.64 : 7,485.78 = 3,658.60 : x
  2. Step 2: Convert to fraction form
    5,427.64/7,485.78 = 3,658.60/x
  3. Step 3: Cross multiply
    5,427.64x = 7,485.78 × 3,658.60
  4. Step 4: Simplify right side
    5,427.64x = 27,387,474.71
  5. Step 5: Solve for x
    x = 27,387,474.71/5,427.64
  6. Step 6: Final answer
    x = 5,045.93

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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.