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Finding the Fourth Proportional to 4,740.57, 6,538.05 and 3,559.59

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Solution

The fourth proportional to 4,740.57, 6,538.05 and 3,559.59 is: 4,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.57 : 6,538.05 = 3,559.59 : x
  2. Step 2: Convert to fraction form
    4,740.57/6,538.05 = 3,559.59/x
  3. Step 3: Cross multiply
    4,740.57x = 6,538.05 × 3,559.59
  4. Step 4: Simplify right side
    4,740.57x = 23,272,777.40
  5. Step 5: Solve for x
    x = 23,272,777.40/4,740.57
  6. Step 6: Final answer
    x = 4,909.28

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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.