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Finding the Fourth Proportional to 3,959.47, 5,938.75 and 1,038.01

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Solution

The fourth proportional to 3,959.47, 5,938.75 and 1,038.01 is: 1,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.47 : 5,938.75 = 1,038.01 : x
  2. Step 2: Convert to fraction form
    3,959.47/5,938.75 = 1,038.01/x
  3. Step 3: Cross multiply
    3,959.47x = 5,938.75 × 1,038.01
  4. Step 4: Simplify right side
    3,959.47x = 6,164,452.19
  5. Step 5: Solve for x
    x = 6,164,452.19/3,959.47
  6. Step 6: Final answer
    x = 1,556.89

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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.