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Finding the Fourth Proportional to 5,253.42, 7,880.04 and 1,357.80

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Solution

The fourth proportional to 5,253.42, 7,880.04 and 1,357.80 is: 2,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.42 : 7,880.04 = 1,357.80 : x
  2. Step 2: Convert to fraction form
    5,253.42/7,880.04 = 1,357.80/x
  3. Step 3: Cross multiply
    5,253.42x = 7,880.04 × 1,357.80
  4. Step 4: Simplify right side
    5,253.42x = 10,699,518.31
  5. Step 5: Solve for x
    x = 10,699,518.31/5,253.42
  6. Step 6: Final answer
    x = 2,036.68

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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.