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Finding the Fourth Proportional to 3,699.36, 5,549.00 and 1,102.32

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Solution

The fourth proportional to 3,699.36, 5,549.00 and 1,102.32 is: 1,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.36 : 5,549.00 = 1,102.32 : x
  2. Step 2: Convert to fraction form
    3,699.36/5,549.00 = 1,102.32/x
  3. Step 3: Cross multiply
    3,699.36x = 5,549.00 × 1,102.32
  4. Step 4: Simplify right side
    3,699.36x = 6,116,768.17
  5. Step 5: Solve for x
    x = 6,116,768.17/3,699.36
  6. Step 6: Final answer
    x = 1,653.47

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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.