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Finding the Fourth Proportional to 3,762.16, 5,643.04 and 1,164.76

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Solution

The fourth proportional to 3,762.16, 5,643.04 and 1,164.76 is: 1,747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.16 : 5,643.04 = 1,164.76 : x
  2. Step 2: Convert to fraction form
    3,762.16/5,643.04 = 1,164.76/x
  3. Step 3: Cross multiply
    3,762.16x = 5,643.04 × 1,164.76
  4. Step 4: Simplify right side
    3,762.16x = 6,572,787.27
  5. Step 5: Solve for x
    x = 6,572,787.27/3,762.16
  6. Step 6: Final answer
    x = 1,747.08

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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.