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Finding the Fourth Proportional to 3,657.83, 5,487.29 and 1,060.43

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Solution

The fourth proportional to 3,657.83, 5,487.29 and 1,060.43 is: 1,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.83 : 5,487.29 = 1,060.43 : x
  2. Step 2: Convert to fraction form
    3,657.83/5,487.29 = 1,060.43/x
  3. Step 3: Cross multiply
    3,657.83x = 5,487.29 × 1,060.43
  4. Step 4: Simplify right side
    3,657.83x = 5,818,881.63
  5. Step 5: Solve for x
    x = 5,818,881.63/3,657.83
  6. Step 6: Final answer
    x = 1,590.80

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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.