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Finding the Fourth Proportional to 5,253.71, 7,880.57 and 1,357.82

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Solution

The fourth proportional to 5,253.71, 7,880.57 and 1,357.82 is: 2,036.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.71 : 7,880.57 = 1,357.82 : x
  2. Step 2: Convert to fraction form
    5,253.71/7,880.57 = 1,357.82/x
  3. Step 3: Cross multiply
    5,253.71x = 7,880.57 × 1,357.82
  4. Step 4: Simplify right side
    5,253.71x = 10,700,349.37
  5. Step 5: Solve for x
    x = 10,700,349.37/5,253.71
  6. Step 6: Final answer
    x = 2,036.72

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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.