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Finding the Fourth Proportional to 3,700.77, 5,547.27 and 1,724.77

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Solution

The fourth proportional to 3,700.77, 5,547.27 and 1,724.77 is: 2,585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.77 : 5,547.27 = 1,724.77 : x
  2. Step 2: Convert to fraction form
    3,700.77/5,547.27 = 1,724.77/x
  3. Step 3: Cross multiply
    3,700.77x = 5,547.27 × 1,724.77
  4. Step 4: Simplify right side
    3,700.77x = 9,567,742.23
  5. Step 5: Solve for x
    x = 9,567,742.23/3,700.77
  6. Step 6: Final answer
    x = 2,585.34

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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.