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Finding the Fourth Proportional to 5,267.94, 7,903.26 and 1,570.17

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Solution

The fourth proportional to 5,267.94, 7,903.26 and 1,570.17 is: 2,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.94 : 7,903.26 = 1,570.17 : x
  2. Step 2: Convert to fraction form
    5,267.94/7,903.26 = 1,570.17/x
  3. Step 3: Cross multiply
    5,267.94x = 7,903.26 × 1,570.17
  4. Step 4: Simplify right side
    5,267.94x = 12,409,461.75
  5. Step 5: Solve for x
    x = 12,409,461.75/5,267.94
  6. Step 6: Final answer
    x = 2,355.66

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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.