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Finding the Fourth Proportional to 3,569.23, 5,353.44 and 971.98

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Solution

The fourth proportional to 3,569.23, 5,353.44 and 971.98 is: 1,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.23 : 5,353.44 = 971.98 : x
  2. Step 2: Convert to fraction form
    3,569.23/5,353.44 = 971.98/x
  3. Step 3: Cross multiply
    3,569.23x = 5,353.44 × 971.98
  4. Step 4: Simplify right side
    3,569.23x = 5,203,436.61
  5. Step 5: Solve for x
    x = 5,203,436.61/3,569.23
  6. Step 6: Final answer
    x = 1,457.86

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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.