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Finding the Fourth Proportional to 5,101.63, 7,656.32 and 2,470.68

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Solution

The fourth proportional to 5,101.63, 7,656.32 and 2,470.68 is: 3,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.63 : 7,656.32 = 2,470.68 : x
  2. Step 2: Convert to fraction form
    5,101.63/7,656.32 = 2,470.68/x
  3. Step 3: Cross multiply
    5,101.63x = 7,656.32 × 2,470.68
  4. Step 4: Simplify right side
    5,101.63x = 18,916,301.34
  5. Step 5: Solve for x
    x = 18,916,301.34/5,101.63
  6. Step 6: Final answer
    x = 3,707.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.