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Finding the Fourth Proportional to 4,599.34, 6,347.02 and 2,711.00

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Solution

The fourth proportional to 4,599.34, 6,347.02 and 2,711.00 is: 3,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.34 : 6,347.02 = 2,711.00 : x
  2. Step 2: Convert to fraction form
    4,599.34/6,347.02 = 2,711.00/x
  3. Step 3: Cross multiply
    4,599.34x = 6,347.02 × 2,711.00
  4. Step 4: Simplify right side
    4,599.34x = 17,206,725.93
  5. Step 5: Solve for x
    x = 17,206,725.93/4,599.34
  6. Step 6: Final answer
    x = 3,741.13

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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.