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Finding the Fourth Proportional to 4,714.92, 6,505.49 and 3,036.89

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Solution

The fourth proportional to 4,714.92, 6,505.49 and 3,036.89 is: 4,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.92 : 6,505.49 = 3,036.89 : x
  2. Step 2: Convert to fraction form
    4,714.92/6,505.49 = 3,036.89/x
  3. Step 3: Cross multiply
    4,714.92x = 6,505.49 × 3,036.89
  4. Step 4: Simplify right side
    4,714.92x = 19,756,409.81
  5. Step 5: Solve for x
    x = 19,756,409.81/4,714.92
  6. Step 6: Final answer
    x = 4,190.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.