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Finding the Fourth Proportional to 3,653.16, 5,477.03 and 1,460.22

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Solution

The fourth proportional to 3,653.16, 5,477.03 and 1,460.22 is: 2,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.16 : 5,477.03 = 1,460.22 : x
  2. Step 2: Convert to fraction form
    3,653.16/5,477.03 = 1,460.22/x
  3. Step 3: Cross multiply
    3,653.16x = 5,477.03 × 1,460.22
  4. Step 4: Simplify right side
    3,653.16x = 7,997,641.36
  5. Step 5: Solve for x
    x = 7,997,641.36/3,653.16
  6. Step 6: Final answer
    x = 2,189.24

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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.