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Finding the Fourth Proportional to 4,779.65, 7,170.50 and 1,857.95

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Solution

The fourth proportional to 4,779.65, 7,170.50 and 1,857.95 is: 2,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779.65 : 7,170.50 = 1,857.95 : x
  2. Step 2: Convert to fraction form
    4,779.65/7,170.50 = 1,857.95/x
  3. Step 3: Cross multiply
    4,779.65x = 7,170.50 × 1,857.95
  4. Step 4: Simplify right side
    4,779.65x = 13,322,399.27
  5. Step 5: Solve for x
    x = 13,322,399.27/4,779.65
  6. Step 6: Final answer
    x = 2,787.32

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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.