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Finding the Fourth Proportional to 5,100.63, 7,652.03 and 1,590.56

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Solution

The fourth proportional to 5,100.63, 7,652.03 and 1,590.56 is: 2,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.63 : 7,652.03 = 1,590.56 : x
  2. Step 2: Convert to fraction form
    5,100.63/7,652.03 = 1,590.56/x
  3. Step 3: Cross multiply
    5,100.63x = 7,652.03 × 1,590.56
  4. Step 4: Simplify right side
    5,100.63x = 12,171,012.84
  5. Step 5: Solve for x
    x = 12,171,012.84/5,100.63
  6. Step 6: Final answer
    x = 2,386.18

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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.