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Finding the Fourth Proportional to 4,697.16, 7,053.81 and 4,171.26

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Solution

The fourth proportional to 4,697.16, 7,053.81 and 4,171.26 is: 6,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.16 : 7,053.81 = 4,171.26 : x
  2. Step 2: Convert to fraction form
    4,697.16/7,053.81 = 4,171.26/x
  3. Step 3: Cross multiply
    4,697.16x = 7,053.81 × 4,171.26
  4. Step 4: Simplify right side
    4,697.16x = 29,423,275.50
  5. Step 5: Solve for x
    x = 29,423,275.50/4,697.16
  6. Step 6: Final answer
    x = 6,264.06

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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.