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Finding the Fourth Proportional to 5,971.84, 8,957.96 and 2,852.20

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Solution

The fourth proportional to 5,971.84, 8,957.96 and 2,852.20 is: 4,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.84 : 8,957.96 = 2,852.20 : x
  2. Step 2: Convert to fraction form
    5,971.84/8,957.96 = 2,852.20/x
  3. Step 3: Cross multiply
    5,971.84x = 8,957.96 × 2,852.20
  4. Step 4: Simplify right side
    5,971.84x = 25,549,893.51
  5. Step 5: Solve for x
    x = 25,549,893.51/5,971.84
  6. Step 6: Final answer
    x = 4,278.40

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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.