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Finding the Fourth Proportional to 5,498.50, 7,588.34 and 3,403.84

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Solution

The fourth proportional to 5,498.50, 7,588.34 and 3,403.84 is: 4,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.50 : 7,588.34 = 3,403.84 : x
  2. Step 2: Convert to fraction form
    5,498.50/7,588.34 = 3,403.84/x
  3. Step 3: Cross multiply
    5,498.50x = 7,588.34 × 3,403.84
  4. Step 4: Simplify right side
    5,498.50x = 25,829,495.23
  5. Step 5: Solve for x
    x = 25,829,495.23/5,498.50
  6. Step 6: Final answer
    x = 4,697.55

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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.