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Finding the Fourth Proportional to 4,354.24, 6,500.54 and 3,698.32

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Solution

The fourth proportional to 4,354.24, 6,500.54 and 3,698.32 is: 5,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.24 : 6,500.54 = 3,698.32 : x
  2. Step 2: Convert to fraction form
    4,354.24/6,500.54 = 3,698.32/x
  3. Step 3: Cross multiply
    4,354.24x = 6,500.54 × 3,698.32
  4. Step 4: Simplify right side
    4,354.24x = 24,041,077.09
  5. Step 5: Solve for x
    x = 24,041,077.09/4,354.24
  6. Step 6: Final answer
    x = 5,521.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.