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Finding the Fourth Proportional to 3,915.54, 5,873.66 and 1,417.34

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Solution

The fourth proportional to 3,915.54, 5,873.66 and 1,417.34 is: 2,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.54 : 5,873.66 = 1,417.34 : x
  2. Step 2: Convert to fraction form
    3,915.54/5,873.66 = 1,417.34/x
  3. Step 3: Cross multiply
    3,915.54x = 5,873.66 × 1,417.34
  4. Step 4: Simplify right side
    3,915.54x = 8,324,973.26
  5. Step 5: Solve for x
    x = 8,324,973.26/3,915.54
  6. Step 6: Final answer
    x = 2,126.14

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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.