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Finding the Fourth Proportional to 5,271.10, 7,274.81 and 5,098.01

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Solution

The fourth proportional to 5,271.10, 7,274.81 and 5,098.01 is: 7,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.10 : 7,274.81 = 5,098.01 : x
  2. Step 2: Convert to fraction form
    5,271.10/7,274.81 = 5,098.01/x
  3. Step 3: Cross multiply
    5,271.10x = 7,274.81 × 5,098.01
  4. Step 4: Simplify right side
    5,271.10x = 37,087,054.13
  5. Step 5: Solve for x
    x = 37,087,054.13/5,271.10
  6. Step 6: Final answer
    x = 7,035.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.