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Finding the Fourth Proportional to 3,705.88, 5,553.06 and 2,335

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Solution

The fourth proportional to 3,705.88, 5,553.06 and 2,335 is: 3,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.88 : 5,553.06 = 2,335 : x
  2. Step 2: Convert to fraction form
    3,705.88/5,553.06 = 2,335/x
  3. Step 3: Cross multiply
    3,705.88x = 5,553.06 × 2,335
  4. Step 4: Simplify right side
    3,705.88x = 12,966,395.10
  5. Step 5: Solve for x
    x = 12,966,395.10/3,705.88
  6. Step 6: Final answer
    x = 3,498.87

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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.