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Finding the Fourth Proportional to 5,875.84, 8,813.76 and 2,796.16

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Solution

The fourth proportional to 5,875.84, 8,813.76 and 2,796.16 is: 4,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.84 : 8,813.76 = 2,796.16 : x
  2. Step 2: Convert to fraction form
    5,875.84/8,813.76 = 2,796.16/x
  3. Step 3: Cross multiply
    5,875.84x = 8,813.76 × 2,796.16
  4. Step 4: Simplify right side
    5,875.84x = 24,644,683.16
  5. Step 5: Solve for x
    x = 24,644,683.16/5,875.84
  6. Step 6: Final answer
    x = 4,194.24

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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.