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Finding the Fourth Proportional to 5,988.80, 8,971.30 and 4,684.16

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Solution

The fourth proportional to 5,988.80, 8,971.30 and 4,684.16 is: 7,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.80 : 8,971.30 = 4,684.16 : x
  2. Step 2: Convert to fraction form
    5,988.80/8,971.30 = 4,684.16/x
  3. Step 3: Cross multiply
    5,988.80x = 8,971.30 × 4,684.16
  4. Step 4: Simplify right side
    5,988.80x = 42,023,004.61
  5. Step 5: Solve for x
    x = 42,023,004.61/5,988.80
  6. Step 6: Final answer
    x = 7,016.93

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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.