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Finding the Fourth Proportional to 3,707.84, 5,561.55 and 934.50

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Solution

The fourth proportional to 3,707.84, 5,561.55 and 934.50 is: 1,401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.84 : 5,561.55 = 934.50 : x
  2. Step 2: Convert to fraction form
    3,707.84/5,561.55 = 934.50/x
  3. Step 3: Cross multiply
    3,707.84x = 5,561.55 × 934.50
  4. Step 4: Simplify right side
    3,707.84x = 5,197,268.48
  5. Step 5: Solve for x
    x = 5,197,268.48/3,707.84
  6. Step 6: Final answer
    x = 1,401.70

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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.