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Finding the Fourth Proportional to 5,952.19, 8,927.56 and 1,569.97

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Solution

The fourth proportional to 5,952.19, 8,927.56 and 1,569.97 is: 2,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.19 : 8,927.56 = 1,569.97 : x
  2. Step 2: Convert to fraction form
    5,952.19/8,927.56 = 1,569.97/x
  3. Step 3: Cross multiply
    5,952.19x = 8,927.56 × 1,569.97
  4. Step 4: Simplify right side
    5,952.19x = 14,016,019.77
  5. Step 5: Solve for x
    x = 14,016,019.77/5,952.19
  6. Step 6: Final answer
    x = 2,354.77

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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.