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Finding the Fourth Proportional to 4,357.40, 6,532.65 and 2,164.93

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Solution

The fourth proportional to 4,357.40, 6,532.65 and 2,164.93 is: 3,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.40 : 6,532.65 = 2,164.93 : x
  2. Step 2: Convert to fraction form
    4,357.40/6,532.65 = 2,164.93/x
  3. Step 3: Cross multiply
    4,357.40x = 6,532.65 × 2,164.93
  4. Step 4: Simplify right side
    4,357.40x = 14,142,713.63
  5. Step 5: Solve for x
    x = 14,142,713.63/4,357.40
  6. Step 6: Final answer
    x = 3,245.68

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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.