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Finding the Fourth Proportional to 4,502.94, 6,750.63 and 1,583.16

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Solution

The fourth proportional to 4,502.94, 6,750.63 and 1,583.16 is: 2,373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.94 : 6,750.63 = 1,583.16 : x
  2. Step 2: Convert to fraction form
    4,502.94/6,750.63 = 1,583.16/x
  3. Step 3: Cross multiply
    4,502.94x = 6,750.63 × 1,583.16
  4. Step 4: Simplify right side
    4,502.94x = 10,687,327.39
  5. Step 5: Solve for x
    x = 10,687,327.39/4,502.94
  6. Step 6: Final answer
    x = 2,373.41

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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.