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Finding the Fourth Proportional to 4,931.47, 7,393.42 and 2,007.91

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Solution

The fourth proportional to 4,931.47, 7,393.42 and 2,007.91 is: 3,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.47 : 7,393.42 = 2,007.91 : x
  2. Step 2: Convert to fraction form
    4,931.47/7,393.42 = 2,007.91/x
  3. Step 3: Cross multiply
    4,931.47x = 7,393.42 × 2,007.91
  4. Step 4: Simplify right side
    4,931.47x = 14,845,305.98
  5. Step 5: Solve for x
    x = 14,845,305.98/4,931.47
  6. Step 6: Final answer
    x = 3,010.32

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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.