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Finding the Fourth Proportional to 5,052.66, 6,972.82 and 2,784.08

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Solution

The fourth proportional to 5,052.66, 6,972.82 and 2,784.08 is: 3,842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.66 : 6,972.82 = 2,784.08 : x
  2. Step 2: Convert to fraction form
    5,052.66/6,972.82 = 2,784.08/x
  3. Step 3: Cross multiply
    5,052.66x = 6,972.82 × 2,784.08
  4. Step 4: Simplify right side
    5,052.66x = 19,412,888.71
  5. Step 5: Solve for x
    x = 19,412,888.71/5,052.66
  6. Step 6: Final answer
    x = 3,842.11

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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.