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Finding the Fourth Proportional to 3,708.88, 5,114 and 3,482.88

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Solution

The fourth proportional to 3,708.88, 5,114 and 3,482.88 is: 4,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.88 : 5,114 = 3,482.88 : x
  2. Step 2: Convert to fraction form
    3,708.88/5,114 = 3,482.88/x
  3. Step 3: Cross multiply
    3,708.88x = 5,114 × 3,482.88
  4. Step 4: Simplify right side
    3,708.88x = 17,811,448.32
  5. Step 5: Solve for x
    x = 17,811,448.32/3,708.88
  6. Step 6: Final answer
    x = 4,802.38

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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.