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Finding the Fourth Proportional to 4,510.56, 6,765.24 and 1,588.50

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Solution

The fourth proportional to 4,510.56, 6,765.24 and 1,588.50 is: 2,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.56 : 6,765.24 = 1,588.50 : x
  2. Step 2: Convert to fraction form
    4,510.56/6,765.24 = 1,588.50/x
  3. Step 3: Cross multiply
    4,510.56x = 6,765.24 × 1,588.50
  4. Step 4: Simplify right side
    4,510.56x = 10,746,583.74
  5. Step 5: Solve for x
    x = 10,746,583.74/4,510.56
  6. Step 6: Final answer
    x = 2,382.54

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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.