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Finding the Fourth Proportional to 4,698.81, 7,051.64 and 3,785.40

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Solution

The fourth proportional to 4,698.81, 7,051.64 and 3,785.40 is: 5,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.81 : 7,051.64 = 3,785.40 : x
  2. Step 2: Convert to fraction form
    4,698.81/7,051.64 = 3,785.40/x
  3. Step 3: Cross multiply
    4,698.81x = 7,051.64 × 3,785.40
  4. Step 4: Simplify right side
    4,698.81x = 26,693,259.13
  5. Step 5: Solve for x
    x = 26,693,259.13/4,698.81
  6. Step 6: Final answer
    x = 5,680.86

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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.