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Finding the Fourth Proportional to 3,398.90, 5,094.24 and 1,547.48

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Solution

The fourth proportional to 3,398.90, 5,094.24 and 1,547.48 is: 2,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.90 : 5,094.24 = 1,547.48 : x
  2. Step 2: Convert to fraction form
    3,398.90/5,094.24 = 1,547.48/x
  3. Step 3: Cross multiply
    3,398.90x = 5,094.24 × 1,547.48
  4. Step 4: Simplify right side
    3,398.90x = 7,883,234.52
  5. Step 5: Solve for x
    x = 7,883,234.52/3,398.90
  6. Step 6: Final answer
    x = 2,319.35

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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.