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Finding the Fourth Proportional to 3,606.04, 5,412.16 and 1,416.32

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Solution

The fourth proportional to 3,606.04, 5,412.16 and 1,416.32 is: 2,125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.04 : 5,412.16 = 1,416.32 : x
  2. Step 2: Convert to fraction form
    3,606.04/5,412.16 = 1,416.32/x
  3. Step 3: Cross multiply
    3,606.04x = 5,412.16 × 1,416.32
  4. Step 4: Simplify right side
    3,606.04x = 7,665,350.45
  5. Step 5: Solve for x
    x = 7,665,350.45/3,606.04
  6. Step 6: Final answer
    x = 2,125.70

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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.