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Finding the Fourth Proportional to 5,346.64, 7,380.56 and 4,597.60

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Solution

The fourth proportional to 5,346.64, 7,380.56 and 4,597.60 is: 6,346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.64 : 7,380.56 = 4,597.60 : x
  2. Step 2: Convert to fraction form
    5,346.64/7,380.56 = 4,597.60/x
  3. Step 3: Cross multiply
    5,346.64x = 7,380.56 × 4,597.60
  4. Step 4: Simplify right side
    5,346.64x = 33,932,862.66
  5. Step 5: Solve for x
    x = 33,932,862.66/5,346.64
  6. Step 6: Final answer
    x = 6,346.58

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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.