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Finding the Fourth Proportional to 4,892.04, 7,279.20 and 4,875.66

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Solution

The fourth proportional to 4,892.04, 7,279.20 and 4,875.66 is: 7,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.04 : 7,279.20 = 4,875.66 : x
  2. Step 2: Convert to fraction form
    4,892.04/7,279.20 = 4,875.66/x
  3. Step 3: Cross multiply
    4,892.04x = 7,279.20 × 4,875.66
  4. Step 4: Simplify right side
    4,892.04x = 35,490,904.27
  5. Step 5: Solve for x
    x = 35,490,904.27/4,892.04
  6. Step 6: Final answer
    x = 7,254.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.