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Finding the Fourth Proportional to 5,824.47, 8,730.55 and 3,970.99

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Solution

The fourth proportional to 5,824.47, 8,730.55 and 3,970.99 is: 5,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.47 : 8,730.55 = 3,970.99 : x
  2. Step 2: Convert to fraction form
    5,824.47/8,730.55 = 3,970.99/x
  3. Step 3: Cross multiply
    5,824.47x = 8,730.55 × 3,970.99
  4. Step 4: Simplify right side
    5,824.47x = 34,668,926.74
  5. Step 5: Solve for x
    x = 34,668,926.74/5,824.47
  6. Step 6: Final answer
    x = 5,952.29

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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.