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Finding the Fourth Proportional to 5,897.76, 8,848.56 and 2,820

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Solution

The fourth proportional to 5,897.76, 8,848.56 and 2,820 is: 4,230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.76 : 8,848.56 = 2,820 : x
  2. Step 2: Convert to fraction form
    5,897.76/8,848.56 = 2,820/x
  3. Step 3: Cross multiply
    5,897.76x = 8,848.56 × 2,820
  4. Step 4: Simplify right side
    5,897.76x = 24,952,939.20
  5. Step 5: Solve for x
    x = 24,952,939.20/5,897.76
  6. Step 6: Final answer
    x = 4,230.92

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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.