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Finding the Fourth Proportional to 7,301.54, 10,948.75 and 3,602.54

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Solution

The fourth proportional to 7,301.54, 10,948.75 and 3,602.54 is: 5,402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.54 : 10,948.75 = 3,602.54 : x
  2. Step 2: Convert to fraction form
    7,301.54/10,948.75 = 3,602.54/x
  3. Step 3: Cross multiply
    7,301.54x = 10,948.75 × 3,602.54
  4. Step 4: Simplify right side
    7,301.54x = 39,443,309.83
  5. Step 5: Solve for x
    x = 39,443,309.83/7,301.54
  6. Step 6: Final answer
    x = 5,402.05

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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.