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Finding the Fourth Proportional to 4,871.75, 7,308.70 and 1,584.77

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Solution

The fourth proportional to 4,871.75, 7,308.70 and 1,584.77 is: 2,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.75 : 7,308.70 = 1,584.77 : x
  2. Step 2: Convert to fraction form
    4,871.75/7,308.70 = 1,584.77/x
  3. Step 3: Cross multiply
    4,871.75x = 7,308.70 × 1,584.77
  4. Step 4: Simplify right side
    4,871.75x = 11,582,567.99
  5. Step 5: Solve for x
    x = 11,582,567.99/4,871.75
  6. Step 6: Final answer
    x = 2,377.50

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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.