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Finding the Fourth Proportional to 4,597.34, 6,342.45 and 3,200.90

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Solution

The fourth proportional to 4,597.34, 6,342.45 and 3,200.90 is: 4,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.34 : 6,342.45 = 3,200.90 : x
  2. Step 2: Convert to fraction form
    4,597.34/6,342.45 = 3,200.90/x
  3. Step 3: Cross multiply
    4,597.34x = 6,342.45 × 3,200.90
  4. Step 4: Simplify right side
    4,597.34x = 20,301,548.21
  5. Step 5: Solve for x
    x = 20,301,548.21/4,597.34
  6. Step 6: Final answer
    x = 4,415.93

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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.