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Finding the Fourth Proportional to 5,151.51, 7,708.82 and 4,460.58

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Solution

The fourth proportional to 5,151.51, 7,708.82 and 4,460.58 is: 6,674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.51 : 7,708.82 = 4,460.58 : x
  2. Step 2: Convert to fraction form
    5,151.51/7,708.82 = 4,460.58/x
  3. Step 3: Cross multiply
    5,151.51x = 7,708.82 × 4,460.58
  4. Step 4: Simplify right side
    5,151.51x = 34,385,786.01
  5. Step 5: Solve for x
    x = 34,385,786.01/5,151.51
  6. Step 6: Final answer
    x = 6,674.89

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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.