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Finding the Fourth Proportional to 3,574.86, 5,360.28 and 1,353.84

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Solution

The fourth proportional to 3,574.86, 5,360.28 and 1,353.84 is: 2,030.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.86 : 5,360.28 = 1,353.84 : x
  2. Step 2: Convert to fraction form
    3,574.86/5,360.28 = 1,353.84/x
  3. Step 3: Cross multiply
    3,574.86x = 5,360.28 × 1,353.84
  4. Step 4: Simplify right side
    3,574.86x = 7,256,961.48
  5. Step 5: Solve for x
    x = 7,256,961.48/3,574.86
  6. Step 6: Final answer
    x = 2,030.00

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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.