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Finding the Fourth Proportional to 5,818, 8,023.52 and 4,329.68

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Solution

The fourth proportional to 5,818, 8,023.52 and 4,329.68 is: 5,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,818 : 8,023.52 = 4,329.68 : x
  2. Step 2: Convert to fraction form
    5,818/8,023.52 = 4,329.68/x
  3. Step 3: Cross multiply
    5,818x = 8,023.52 × 4,329.68
  4. Step 4: Simplify right side
    5,818x = 34,739,274.07
  5. Step 5: Solve for x
    x = 34,739,274.07/5,818
  6. Step 6: Final answer
    x = 5,971.00

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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.