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Finding the Fourth Proportional to 4,130.68, 5,700 and 2,267.68

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Solution

The fourth proportional to 4,130.68, 5,700 and 2,267.68 is: 3,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.68 : 5,700 = 2,267.68 : x
  2. Step 2: Convert to fraction form
    4,130.68/5,700 = 2,267.68/x
  3. Step 3: Cross multiply
    4,130.68x = 5,700 × 2,267.68
  4. Step 4: Simplify right side
    4,130.68x = 12,925,776.00
  5. Step 5: Solve for x
    x = 12,925,776.00/4,130.68
  6. Step 6: Final answer
    x = 3,129.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.