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Finding the Fourth Proportional to 5,497.74, 8,245.53 and 1,602.18

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Solution

The fourth proportional to 5,497.74, 8,245.53 and 1,602.18 is: 2,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.74 : 8,245.53 = 1,602.18 : x
  2. Step 2: Convert to fraction form
    5,497.74/8,245.53 = 1,602.18/x
  3. Step 3: Cross multiply
    5,497.74x = 8,245.53 × 1,602.18
  4. Step 4: Simplify right side
    5,497.74x = 13,210,823.26
  5. Step 5: Solve for x
    x = 13,210,823.26/5,497.74
  6. Step 6: Final answer
    x = 2,402.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.