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Finding the Fourth Proportional to 7,301.28, 10,955.60 and 2,920

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Solution

The fourth proportional to 7,301.28, 10,955.60 and 2,920 is: 4,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.28 : 10,955.60 = 2,920 : x
  2. Step 2: Convert to fraction form
    7,301.28/10,955.60 = 2,920/x
  3. Step 3: Cross multiply
    7,301.28x = 10,955.60 × 2,920
  4. Step 4: Simplify right side
    7,301.28x = 31,990,352
  5. Step 5: Solve for x
    x = 31,990,352/7,301.28
  6. Step 6: Final answer
    x = 4,381.47

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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.