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Finding the Fourth Proportional to 5,318.72, 7,978.48 and 1,856.24

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Solution

The fourth proportional to 5,318.72, 7,978.48 and 1,856.24 is: 2,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.72 : 7,978.48 = 1,856.24 : x
  2. Step 2: Convert to fraction form
    5,318.72/7,978.48 = 1,856.24/x
  3. Step 3: Cross multiply
    5,318.72x = 7,978.48 × 1,856.24
  4. Step 4: Simplify right side
    5,318.72x = 14,809,973.72
  5. Step 5: Solve for x
    x = 14,809,973.72/5,318.72
  6. Step 6: Final answer
    x = 2,784.50

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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.