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Finding the Fourth Proportional to 5,670.98, 8,490 and 3,473

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Solution

The fourth proportional to 5,670.98, 8,490 and 3,473 is: 5,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.98 : 8,490 = 3,473 : x
  2. Step 2: Convert to fraction form
    5,670.98/8,490 = 3,473/x
  3. Step 3: Cross multiply
    5,670.98x = 8,490 × 3,473
  4. Step 4: Simplify right side
    5,670.98x = 29,485,770
  5. Step 5: Solve for x
    x = 29,485,770/5,670.98
  6. Step 6: Final answer
    x = 5,199.41

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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.