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Finding the Fourth Proportional to 5,212.32, 7,818.53 and 1,316.72

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Solution

The fourth proportional to 5,212.32, 7,818.53 and 1,316.72 is: 1,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.32 : 7,818.53 = 1,316.72 : x
  2. Step 2: Convert to fraction form
    5,212.32/7,818.53 = 1,316.72/x
  3. Step 3: Cross multiply
    5,212.32x = 7,818.53 × 1,316.72
  4. Step 4: Simplify right side
    5,212.32x = 10,294,827.78
  5. Step 5: Solve for x
    x = 10,294,827.78/5,212.32
  6. Step 6: Final answer
    x = 1,975.10

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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.