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Finding the Fourth Proportional to 5,987.34, 8,981 and 1,604.70

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Solution

The fourth proportional to 5,987.34, 8,981 and 1,604.70 is: 2,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.34 : 8,981 = 1,604.70 : x
  2. Step 2: Convert to fraction form
    5,987.34/8,981 = 1,604.70/x
  3. Step 3: Cross multiply
    5,987.34x = 8,981 × 1,604.70
  4. Step 4: Simplify right side
    5,987.34x = 14,411,810.70
  5. Step 5: Solve for x
    x = 14,411,810.70/5,987.34
  6. Step 6: Final answer
    x = 2,407.05

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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.