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Finding the Fourth Proportional to 3,762.04, 5,641.72 and 1,296.24

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Solution

The fourth proportional to 3,762.04, 5,641.72 and 1,296.24 is: 1,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.04 : 5,641.72 = 1,296.24 : x
  2. Step 2: Convert to fraction form
    3,762.04/5,641.72 = 1,296.24/x
  3. Step 3: Cross multiply
    3,762.04x = 5,641.72 × 1,296.24
  4. Step 4: Simplify right side
    3,762.04x = 7,313,023.13
  5. Step 5: Solve for x
    x = 7,313,023.13/3,762.04
  6. Step 6: Final answer
    x = 1,943.90

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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.