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Finding the Fourth Proportional to 5,167.68, 7,752.24 and 1,880.16

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Solution

The fourth proportional to 5,167.68, 7,752.24 and 1,880.16 is: 2,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.68 : 7,752.24 = 1,880.16 : x
  2. Step 2: Convert to fraction form
    5,167.68/7,752.24 = 1,880.16/x
  3. Step 3: Cross multiply
    5,167.68x = 7,752.24 × 1,880.16
  4. Step 4: Simplify right side
    5,167.68x = 14,575,451.56
  5. Step 5: Solve for x
    x = 14,575,451.56/5,167.68
  6. Step 6: Final answer
    x = 2,820.50

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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.