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Finding the Fourth Proportional to 5,185.76, 7,778.72 and 1,488.32

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Solution

The fourth proportional to 5,185.76, 7,778.72 and 1,488.32 is: 2,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.76 : 7,778.72 = 1,488.32 : x
  2. Step 2: Convert to fraction form
    5,185.76/7,778.72 = 1,488.32/x
  3. Step 3: Cross multiply
    5,185.76x = 7,778.72 × 1,488.32
  4. Step 4: Simplify right side
    5,185.76x = 11,577,224.55
  5. Step 5: Solve for x
    x = 11,577,224.55/5,185.76
  6. Step 6: Final answer
    x = 2,232.50

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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.