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Finding the Fourth Proportional to 5,331.08, 7,943.02 and 5,033

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Solution

The fourth proportional to 5,331.08, 7,943.02 and 5,033 is: 7,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,331.08 : 7,943.02 = 5,033 : x
  2. Step 2: Convert to fraction form
    5,331.08/7,943.02 = 5,033/x
  3. Step 3: Cross multiply
    5,331.08x = 7,943.02 × 5,033
  4. Step 4: Simplify right side
    5,331.08x = 39,977,219.66
  5. Step 5: Solve for x
    x = 39,977,219.66/5,331.08
  6. Step 6: Final answer
    x = 7,498.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.