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Finding the Fourth Proportional to 4,946.16, 7,430.16 and 2,999.52

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Solution

The fourth proportional to 4,946.16, 7,430.16 and 2,999.52 is: 4,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.16 : 7,430.16 = 2,999.52 : x
  2. Step 2: Convert to fraction form
    4,946.16/7,430.16 = 2,999.52/x
  3. Step 3: Cross multiply
    4,946.16x = 7,430.16 × 2,999.52
  4. Step 4: Simplify right side
    4,946.16x = 22,286,913.52
  5. Step 5: Solve for x
    x = 22,286,913.52/4,946.16
  6. Step 6: Final answer
    x = 4,505.90

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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.