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Finding the Fourth Proportional to 3,473.57, 5,210.34 and 876.50

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Solution

The fourth proportional to 3,473.57, 5,210.34 and 876.50 is: 1,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.57 : 5,210.34 = 876.50 : x
  2. Step 2: Convert to fraction form
    3,473.57/5,210.34 = 876.50/x
  3. Step 3: Cross multiply
    3,473.57x = 5,210.34 × 876.50
  4. Step 4: Simplify right side
    3,473.57x = 4,566,863.01
  5. Step 5: Solve for x
    x = 4,566,863.01/3,473.57
  6. Step 6: Final answer
    x = 1,314.75

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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.