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Finding the Fourth Proportional to 5,553, 8,330.82 and 1,657.51

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Solution

The fourth proportional to 5,553, 8,330.82 and 1,657.51 is: 2,486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,553 : 8,330.82 = 1,657.51 : x
  2. Step 2: Convert to fraction form
    5,553/8,330.82 = 1,657.51/x
  3. Step 3: Cross multiply
    5,553x = 8,330.82 × 1,657.51
  4. Step 4: Simplify right side
    5,553x = 13,808,390.42
  5. Step 5: Solve for x
    x = 13,808,390.42/5,553
  6. Step 6: Final answer
    x = 2,486.65

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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.