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Finding the Fourth Proportional to 4,745.64, 6,550.02 and 2,883.72

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Solution

The fourth proportional to 4,745.64, 6,550.02 and 2,883.72 is: 3,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.64 : 6,550.02 = 2,883.72 : x
  2. Step 2: Convert to fraction form
    4,745.64/6,550.02 = 2,883.72/x
  3. Step 3: Cross multiply
    4,745.64x = 6,550.02 × 2,883.72
  4. Step 4: Simplify right side
    4,745.64x = 18,888,423.67
  5. Step 5: Solve for x
    x = 18,888,423.67/4,745.64
  6. Step 6: Final answer
    x = 3,980.16

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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.