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Finding the Fourth Proportional to 3,473.28, 5,210.53 and 1,498.91

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Solution

The fourth proportional to 3,473.28, 5,210.53 and 1,498.91 is: 2,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.28 : 5,210.53 = 1,498.91 : x
  2. Step 2: Convert to fraction form
    3,473.28/5,210.53 = 1,498.91/x
  3. Step 3: Cross multiply
    3,473.28x = 5,210.53 × 1,498.91
  4. Step 4: Simplify right side
    3,473.28x = 7,810,085.72
  5. Step 5: Solve for x
    x = 7,810,085.72/3,473.28
  6. Step 6: Final answer
    x = 2,248.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.