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Finding the Fourth Proportional to 4,556.50, 6,835.73 and 2,583.06

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Solution

The fourth proportional to 4,556.50, 6,835.73 and 2,583.06 is: 3,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.50 : 6,835.73 = 2,583.06 : x
  2. Step 2: Convert to fraction form
    4,556.50/6,835.73 = 2,583.06/x
  3. Step 3: Cross multiply
    4,556.50x = 6,835.73 × 2,583.06
  4. Step 4: Simplify right side
    4,556.50x = 17,657,062.18
  5. Step 5: Solve for x
    x = 17,657,062.18/4,556.50
  6. Step 6: Final answer
    x = 3,875.13

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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.