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Finding the Fourth Proportional to 3,851.30, 5,762.55 and 2,555.30

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Solution

The fourth proportional to 3,851.30, 5,762.55 and 2,555.30 is: 3,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.30 : 5,762.55 = 2,555.30 : x
  2. Step 2: Convert to fraction form
    3,851.30/5,762.55 = 2,555.30/x
  3. Step 3: Cross multiply
    3,851.30x = 5,762.55 × 2,555.30
  4. Step 4: Simplify right side
    3,851.30x = 14,725,044.02
  5. Step 5: Solve for x
    x = 14,725,044.02/3,851.30
  6. Step 6: Final answer
    x = 3,823.40

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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.