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Finding the Fourth Proportional to 5,874.96, 8,810.64 and 1,978.32

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Solution

The fourth proportional to 5,874.96, 8,810.64 and 1,978.32 is: 2,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.96 : 8,810.64 = 1,978.32 : x
  2. Step 2: Convert to fraction form
    5,874.96/8,810.64 = 1,978.32/x
  3. Step 3: Cross multiply
    5,874.96x = 8,810.64 × 1,978.32
  4. Step 4: Simplify right side
    5,874.96x = 17,430,265.32
  5. Step 5: Solve for x
    x = 17,430,265.32/5,874.96
  6. Step 6: Final answer
    x = 2,966.87

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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.