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Finding the Fourth Proportional to 5,287.23, 7,930.02 and 2,365.02

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Solution

The fourth proportional to 5,287.23, 7,930.02 and 2,365.02 is: 3,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.23 : 7,930.02 = 2,365.02 : x
  2. Step 2: Convert to fraction form
    5,287.23/7,930.02 = 2,365.02/x
  3. Step 3: Cross multiply
    5,287.23x = 7,930.02 × 2,365.02
  4. Step 4: Simplify right side
    5,287.23x = 18,754,655.90
  5. Step 5: Solve for x
    x = 18,754,655.90/5,287.23
  6. Step 6: Final answer
    x = 3,547.16

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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.