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Finding the Fourth Proportional to 3,342.66, 5,013.89 and 1,588.93

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Solution

The fourth proportional to 3,342.66, 5,013.89 and 1,588.93 is: 2,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.66 : 5,013.89 = 1,588.93 : x
  2. Step 2: Convert to fraction form
    3,342.66/5,013.89 = 1,588.93/x
  3. Step 3: Cross multiply
    3,342.66x = 5,013.89 × 1,588.93
  4. Step 4: Simplify right side
    3,342.66x = 7,966,720.24
  5. Step 5: Solve for x
    x = 7,966,720.24/3,342.66
  6. Step 6: Final answer
    x = 2,383.35

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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.