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Finding the Fourth Proportional to 6,038.47, 9,053.14 and 3,959.00

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Solution

The fourth proportional to 6,038.47, 9,053.14 and 3,959.00 is: 5,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.47 : 9,053.14 = 3,959.00 : x
  2. Step 2: Convert to fraction form
    6,038.47/9,053.14 = 3,959.00/x
  3. Step 3: Cross multiply
    6,038.47x = 9,053.14 × 3,959.00
  4. Step 4: Simplify right side
    6,038.47x = 35,841,326.10
  5. Step 5: Solve for x
    x = 35,841,326.10/6,038.47
  6. Step 6: Final answer
    x = 5,935.50

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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.