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Finding the Fourth Proportional to 4,713.45, 6,504.62 and 2,588.67

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Solution

The fourth proportional to 4,713.45, 6,504.62 and 2,588.67 is: 3,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.45 : 6,504.62 = 2,588.67 : x
  2. Step 2: Convert to fraction form
    4,713.45/6,504.62 = 2,588.67/x
  3. Step 3: Cross multiply
    4,713.45x = 6,504.62 × 2,588.67
  4. Step 4: Simplify right side
    4,713.45x = 16,838,301.71
  5. Step 5: Solve for x
    x = 16,838,301.71/4,713.45
  6. Step 6: Final answer
    x = 3,572.39

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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.