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Finding the Fourth Proportional to 5,186.70, 7,780.51 and 1,675.35

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Solution

The fourth proportional to 5,186.70, 7,780.51 and 1,675.35 is: 2,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.70 : 7,780.51 = 1,675.35 : x
  2. Step 2: Convert to fraction form
    5,186.70/7,780.51 = 1,675.35/x
  3. Step 3: Cross multiply
    5,186.70x = 7,780.51 × 1,675.35
  4. Step 4: Simplify right side
    5,186.70x = 13,035,077.43
  5. Step 5: Solve for x
    x = 13,035,077.43/5,186.70
  6. Step 6: Final answer
    x = 2,513.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.