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Finding the Fourth Proportional to 4,971.16, 7,447.02 and 4,543.48

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Solution

The fourth proportional to 4,971.16, 7,447.02 and 4,543.48 is: 6,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.16 : 7,447.02 = 4,543.48 : x
  2. Step 2: Convert to fraction form
    4,971.16/7,447.02 = 4,543.48/x
  3. Step 3: Cross multiply
    4,971.16x = 7,447.02 × 4,543.48
  4. Step 4: Simplify right side
    4,971.16x = 33,835,386.43
  5. Step 5: Solve for x
    x = 33,835,386.43/4,971.16
  6. Step 6: Final answer
    x = 6,806.34

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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.