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Finding the Fourth Proportional to 3,903.76, 5,856.28 and 2,374.16

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Solution

The fourth proportional to 3,903.76, 5,856.28 and 2,374.16 is: 3,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.76 : 5,856.28 = 2,374.16 : x
  2. Step 2: Convert to fraction form
    3,903.76/5,856.28 = 2,374.16/x
  3. Step 3: Cross multiply
    3,903.76x = 5,856.28 × 2,374.16
  4. Step 4: Simplify right side
    3,903.76x = 13,903,745.72
  5. Step 5: Solve for x
    x = 13,903,745.72/3,903.76
  6. Step 6: Final answer
    x = 3,561.63

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1.5x scale

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.