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Finding the Fourth Proportional to 3,900.93, 5,852.16 and 1,435.74

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Solution

The fourth proportional to 3,900.93, 5,852.16 and 1,435.74 is: 2,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.93 : 5,852.16 = 1,435.74 : x
  2. Step 2: Convert to fraction form
    3,900.93/5,852.16 = 1,435.74/x
  3. Step 3: Cross multiply
    3,900.93x = 5,852.16 × 1,435.74
  4. Step 4: Simplify right side
    3,900.93x = 8,402,180.20
  5. Step 5: Solve for x
    x = 8,402,180.20/3,900.93
  6. Step 6: Final answer
    x = 2,153.89

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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.