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Finding the Fourth Proportional to 5,897.60, 8,846.40 and 2,981.60

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Solution

The fourth proportional to 5,897.60, 8,846.40 and 2,981.60 is: 4,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.60 : 8,846.40 = 2,981.60 : x
  2. Step 2: Convert to fraction form
    5,897.60/8,846.40 = 2,981.60/x
  3. Step 3: Cross multiply
    5,897.60x = 8,846.40 × 2,981.60
  4. Step 4: Simplify right side
    5,897.60x = 26,376,426.24
  5. Step 5: Solve for x
    x = 26,376,426.24/5,897.60
  6. Step 6: Final answer
    x = 4,472.40

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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.