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Finding the Fourth Proportional to 5,183.08, 7,774.65 and 1,287.50

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Solution

The fourth proportional to 5,183.08, 7,774.65 and 1,287.50 is: 1,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.08 : 7,774.65 = 1,287.50 : x
  2. Step 2: Convert to fraction form
    5,183.08/7,774.65 = 1,287.50/x
  3. Step 3: Cross multiply
    5,183.08x = 7,774.65 × 1,287.50
  4. Step 4: Simplify right side
    5,183.08x = 10,009,823.00
  5. Step 5: Solve for x
    x = 10,009,823.00/5,183.08
  6. Step 6: Final answer
    x = 1,931.25

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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.