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Finding the Fourth Proportional to 4,835.04, 6,668.65 and 4,164.02

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Solution

The fourth proportional to 4,835.04, 6,668.65 and 4,164.02 is: 5,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.04 : 6,668.65 = 4,164.02 : x
  2. Step 2: Convert to fraction form
    4,835.04/6,668.65 = 4,164.02/x
  3. Step 3: Cross multiply
    4,835.04x = 6,668.65 × 4,164.02
  4. Step 4: Simplify right side
    4,835.04x = 27,768,409.93
  5. Step 5: Solve for x
    x = 27,768,409.93/4,835.04
  6. Step 6: Final answer
    x = 5,743.16

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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.