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Finding the Fourth Proportional to 4,866.29, 7,300.34 and 1,578.95

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Solution

The fourth proportional to 4,866.29, 7,300.34 and 1,578.95 is: 2,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.29 : 7,300.34 = 1,578.95 : x
  2. Step 2: Convert to fraction form
    4,866.29/7,300.34 = 1,578.95/x
  3. Step 3: Cross multiply
    4,866.29x = 7,300.34 × 1,578.95
  4. Step 4: Simplify right side
    4,866.29x = 11,526,827.45
  5. Step 5: Solve for x
    x = 11,526,827.45/4,866.29
  6. Step 6: Final answer
    x = 2,368.71

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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.