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Finding the Fourth Proportional to 4,347, 5,999.04 and 2,484

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Solution

The fourth proportional to 4,347, 5,999.04 and 2,484 is: 3,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347 : 5,999.04 = 2,484 : x
  2. Step 2: Convert to fraction form
    4,347/5,999.04 = 2,484/x
  3. Step 3: Cross multiply
    4,347x = 5,999.04 × 2,484
  4. Step 4: Simplify right side
    4,347x = 14,901,615.36
  5. Step 5: Solve for x
    x = 14,901,615.36/4,347
  6. Step 6: Final answer
    x = 3,428.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.