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Finding the Fourth Proportional to 5,867.76, 8,802.95 and 1,972.06

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Solution

The fourth proportional to 5,867.76, 8,802.95 and 1,972.06 is: 2,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.76 : 8,802.95 = 1,972.06 : x
  2. Step 2: Convert to fraction form
    5,867.76/8,802.95 = 1,972.06/x
  3. Step 3: Cross multiply
    5,867.76x = 8,802.95 × 1,972.06
  4. Step 4: Simplify right side
    5,867.76x = 17,359,945.58
  5. Step 5: Solve for x
    x = 17,359,945.58/5,867.76
  6. Step 6: Final answer
    x = 2,958.53

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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.