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Finding the Fourth Proportional to 4,952.93, 7,429.55 and 2,178.18

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Solution

The fourth proportional to 4,952.93, 7,429.55 and 2,178.18 is: 3,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.93 : 7,429.55 = 2,178.18 : x
  2. Step 2: Convert to fraction form
    4,952.93/7,429.55 = 2,178.18/x
  3. Step 3: Cross multiply
    4,952.93x = 7,429.55 × 2,178.18
  4. Step 4: Simplify right side
    4,952.93x = 16,182,886.33
  5. Step 5: Solve for x
    x = 16,182,886.33/4,952.93
  6. Step 6: Final answer
    x = 3,267.34

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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.