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Finding the Fourth Proportional to 5,572.42, 7,689.88 and 3,054.67

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Solution

The fourth proportional to 5,572.42, 7,689.88 and 3,054.67 is: 4,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.42 : 7,689.88 = 3,054.67 : x
  2. Step 2: Convert to fraction form
    5,572.42/7,689.88 = 3,054.67/x
  3. Step 3: Cross multiply
    5,572.42x = 7,689.88 × 3,054.67
  4. Step 4: Simplify right side
    5,572.42x = 23,490,045.74
  5. Step 5: Solve for x
    x = 23,490,045.74/5,572.42
  6. Step 6: Final answer
    x = 4,215.41

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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.