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Finding the Fourth Proportional to 3,455.64, 5,187.42 and 2,840.40

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Solution

The fourth proportional to 3,455.64, 5,187.42 and 2,840.40 is: 4,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.64 : 5,187.42 = 2,840.40 : x
  2. Step 2: Convert to fraction form
    3,455.64/5,187.42 = 2,840.40/x
  3. Step 3: Cross multiply
    3,455.64x = 5,187.42 × 2,840.40
  4. Step 4: Simplify right side
    3,455.64x = 14,734,347.77
  5. Step 5: Solve for x
    x = 14,734,347.77/3,455.64
  6. Step 6: Final answer
    x = 4,263.85

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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.