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Finding the Fourth Proportional to 3,625.86, 5,437.98 and 1,677

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Solution

The fourth proportional to 3,625.86, 5,437.98 and 1,677 is: 2,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.86 : 5,437.98 = 1,677 : x
  2. Step 2: Convert to fraction form
    3,625.86/5,437.98 = 1,677/x
  3. Step 3: Cross multiply
    3,625.86x = 5,437.98 × 1,677
  4. Step 4: Simplify right side
    3,625.86x = 9,119,492.46
  5. Step 5: Solve for x
    x = 9,119,492.46/3,625.86
  6. Step 6: Final answer
    x = 2,515.13

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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.