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Finding the Fourth Proportional to 4,866.64, 7,303.52 and 1,945.80

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Solution

The fourth proportional to 4,866.64, 7,303.52 and 1,945.80 is: 2,920.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.64 : 7,303.52 = 1,945.80 : x
  2. Step 2: Convert to fraction form
    4,866.64/7,303.52 = 1,945.80/x
  3. Step 3: Cross multiply
    4,866.64x = 7,303.52 × 1,945.80
  4. Step 4: Simplify right side
    4,866.64x = 14,211,189.22
  5. Step 5: Solve for x
    x = 14,211,189.22/4,866.64
  6. Step 6: Final answer
    x = 2,920.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.