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Finding the Fourth Proportional to 5,674.95, 8,509.47 and 2,552.25

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Solution

The fourth proportional to 5,674.95, 8,509.47 and 2,552.25 is: 3,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.95 : 8,509.47 = 2,552.25 : x
  2. Step 2: Convert to fraction form
    5,674.95/8,509.47 = 2,552.25/x
  3. Step 3: Cross multiply
    5,674.95x = 8,509.47 × 2,552.25
  4. Step 4: Simplify right side
    5,674.95x = 21,718,294.81
  5. Step 5: Solve for x
    x = 21,718,294.81/5,674.95
  6. Step 6: Final answer
    x = 3,827.05

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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.