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Finding the Fourth Proportional to 4,155.90, 5,734.65 and 2,477.07

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Solution

The fourth proportional to 4,155.90, 5,734.65 and 2,477.07 is: 3,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.90 : 5,734.65 = 2,477.07 : x
  2. Step 2: Convert to fraction form
    4,155.90/5,734.65 = 2,477.07/x
  3. Step 3: Cross multiply
    4,155.90x = 5,734.65 × 2,477.07
  4. Step 4: Simplify right side
    4,155.90x = 14,205,129.48
  5. Step 5: Solve for x
    x = 14,205,129.48/4,155.90
  6. Step 6: Final answer
    x = 3,418.06

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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.