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Finding the Fourth Proportional to 5,246.56, 7,870.65 and 1,783

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Solution

The fourth proportional to 5,246.56, 7,870.65 and 1,783 is: 2,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.56 : 7,870.65 = 1,783 : x
  2. Step 2: Convert to fraction form
    5,246.56/7,870.65 = 1,783/x
  3. Step 3: Cross multiply
    5,246.56x = 7,870.65 × 1,783
  4. Step 4: Simplify right side
    5,246.56x = 14,033,368.95
  5. Step 5: Solve for x
    x = 14,033,368.95/5,246.56
  6. Step 6: Final answer
    x = 2,674.78

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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.