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Finding the Fourth Proportional to 5,820.66, 8,034.39 and 4,328.10

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Solution

The fourth proportional to 5,820.66, 8,034.39 and 4,328.10 is: 5,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.66 : 8,034.39 = 4,328.10 : x
  2. Step 2: Convert to fraction form
    5,820.66/8,034.39 = 4,328.10/x
  3. Step 3: Cross multiply
    5,820.66x = 8,034.39 × 4,328.10
  4. Step 4: Simplify right side
    5,820.66x = 34,773,643.36
  5. Step 5: Solve for x
    x = 34,773,643.36/5,820.66
  6. Step 6: Final answer
    x = 5,974.18

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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.