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Finding the Fourth Proportional to 2,357.02, 3,535.77 and 2,347.42

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Solution

The fourth proportional to 2,357.02, 3,535.77 and 2,347.42 is: 3,521.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.02 : 3,535.77 = 2,347.42 : x
  2. Step 2: Convert to fraction form
    2,357.02/3,535.77 = 2,347.42/x
  3. Step 3: Cross multiply
    2,357.02x = 3,535.77 × 2,347.42
  4. Step 4: Simplify right side
    2,357.02x = 8,299,937.21
  5. Step 5: Solve for x
    x = 8,299,937.21/2,357.02
  6. Step 6: Final answer
    x = 3,521.37

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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.