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Finding the Fourth Proportional to 5,210.40, 7,815.60 and 1,700.40

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Solution

The fourth proportional to 5,210.40, 7,815.60 and 1,700.40 is: 2,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.40 : 7,815.60 = 1,700.40 : x
  2. Step 2: Convert to fraction form
    5,210.40/7,815.60 = 1,700.40/x
  3. Step 3: Cross multiply
    5,210.40x = 7,815.60 × 1,700.40
  4. Step 4: Simplify right side
    5,210.40x = 13,289,646.24
  5. Step 5: Solve for x
    x = 13,289,646.24/5,210.40
  6. Step 6: Final answer
    x = 2,550.60

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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.