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Finding the Fourth Proportional to 5,901.96, 8,852.93 and 1,742.02

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Solution

The fourth proportional to 5,901.96, 8,852.93 and 1,742.02 is: 2,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.96 : 8,852.93 = 1,742.02 : x
  2. Step 2: Convert to fraction form
    5,901.96/8,852.93 = 1,742.02/x
  3. Step 3: Cross multiply
    5,901.96x = 8,852.93 × 1,742.02
  4. Step 4: Simplify right side
    5,901.96x = 15,421,981.12
  5. Step 5: Solve for x
    x = 15,421,981.12/5,901.96
  6. Step 6: Final answer
    x = 2,613.03

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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.