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Finding the Fourth Proportional to 3,357.86, 5,038.61 and 1,410.01

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Solution

The fourth proportional to 3,357.86, 5,038.61 and 1,410.01 is: 2,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.86 : 5,038.61 = 1,410.01 : x
  2. Step 2: Convert to fraction form
    3,357.86/5,038.61 = 1,410.01/x
  3. Step 3: Cross multiply
    3,357.86x = 5,038.61 × 1,410.01
  4. Step 4: Simplify right side
    3,357.86x = 7,104,470.84
  5. Step 5: Solve for x
    x = 7,104,470.84/3,357.86
  6. Step 6: Final answer
    x = 2,115.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.