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Finding the Fourth Proportional to 3,225.32, 4,837.62 and 916.76

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Solution

The fourth proportional to 3,225.32, 4,837.62 and 916.76 is: 1,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.32 : 4,837.62 = 916.76 : x
  2. Step 2: Convert to fraction form
    3,225.32/4,837.62 = 916.76/x
  3. Step 3: Cross multiply
    3,225.32x = 4,837.62 × 916.76
  4. Step 4: Simplify right side
    3,225.32x = 4,434,936.51
  5. Step 5: Solve for x
    x = 4,434,936.51/3,225.32
  6. Step 6: Final answer
    x = 1,375.04

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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.