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Finding the Fourth Proportional to 5,091.66, 7,637.76 and 1,803.60

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Solution

The fourth proportional to 5,091.66, 7,637.76 and 1,803.60 is: 2,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.66 : 7,637.76 = 1,803.60 : x
  2. Step 2: Convert to fraction form
    5,091.66/7,637.76 = 1,803.60/x
  3. Step 3: Cross multiply
    5,091.66x = 7,637.76 × 1,803.60
  4. Step 4: Simplify right side
    5,091.66x = 13,775,463.94
  5. Step 5: Solve for x
    x = 13,775,463.94/5,091.66
  6. Step 6: Final answer
    x = 2,705.50

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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.