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Finding the Fourth Proportional to 5,823.63, 8,726.94 and 2,897.91

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Solution

The fourth proportional to 5,823.63, 8,726.94 and 2,897.91 is: 4,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.63 : 8,726.94 = 2,897.91 : x
  2. Step 2: Convert to fraction form
    5,823.63/8,726.94 = 2,897.91/x
  3. Step 3: Cross multiply
    5,823.63x = 8,726.94 × 2,897.91
  4. Step 4: Simplify right side
    5,823.63x = 25,289,886.70
  5. Step 5: Solve for x
    x = 25,289,886.70/5,823.63
  6. Step 6: Final answer
    x = 4,342.63

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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.