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Finding the Fourth Proportional to 3,564.42, 5,347.35 and 1,099.14

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Solution

The fourth proportional to 3,564.42, 5,347.35 and 1,099.14 is: 1,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.42 : 5,347.35 = 1,099.14 : x
  2. Step 2: Convert to fraction form
    3,564.42/5,347.35 = 1,099.14/x
  3. Step 3: Cross multiply
    3,564.42x = 5,347.35 × 1,099.14
  4. Step 4: Simplify right side
    3,564.42x = 5,877,466.23
  5. Step 5: Solve for x
    x = 5,877,466.23/3,564.42
  6. Step 6: Final answer
    x = 1,648.93

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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.