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Finding the Fourth Proportional to 3,225.07, 4,837.51 and 916.57

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Solution

The fourth proportional to 3,225.07, 4,837.51 and 916.57 is: 1,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.07 : 4,837.51 = 916.57 : x
  2. Step 2: Convert to fraction form
    3,225.07/4,837.51 = 916.57/x
  3. Step 3: Cross multiply
    3,225.07x = 4,837.51 × 916.57
  4. Step 4: Simplify right side
    3,225.07x = 4,433,911.96
  5. Step 5: Solve for x
    x = 4,433,911.96/3,225.07
  6. Step 6: Final answer
    x = 1,374.83

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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.