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Finding the Fourth Proportional to 3,714.80, 5,574.64 and 1,406.32

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Solution

The fourth proportional to 3,714.80, 5,574.64 and 1,406.32 is: 2,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.80 : 5,574.64 = 1,406.32 : x
  2. Step 2: Convert to fraction form
    3,714.80/5,574.64 = 1,406.32/x
  3. Step 3: Cross multiply
    3,714.80x = 5,574.64 × 1,406.32
  4. Step 4: Simplify right side
    3,714.80x = 7,839,727.72
  5. Step 5: Solve for x
    x = 7,839,727.72/3,714.80
  6. Step 6: Final answer
    x = 2,110.40

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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.