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Finding the Fourth Proportional to 4,653.96, 6,421.42 and 2,664

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Solution

The fourth proportional to 4,653.96, 6,421.42 and 2,664 is: 3,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.96 : 6,421.42 = 2,664 : x
  2. Step 2: Convert to fraction form
    4,653.96/6,421.42 = 2,664/x
  3. Step 3: Cross multiply
    4,653.96x = 6,421.42 × 2,664
  4. Step 4: Simplify right side
    4,653.96x = 17,106,662.88
  5. Step 5: Solve for x
    x = 17,106,662.88/4,653.96
  6. Step 6: Final answer
    x = 3,675.72

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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.