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Finding the Fourth Proportional to 3,349.54, 5,024.36 and 1,594.74

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Solution

The fourth proportional to 3,349.54, 5,024.36 and 1,594.74 is: 2,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.54 : 5,024.36 = 1,594.74 : x
  2. Step 2: Convert to fraction form
    3,349.54/5,024.36 = 1,594.74/x
  3. Step 3: Cross multiply
    3,349.54x = 5,024.36 × 1,594.74
  4. Step 4: Simplify right side
    3,349.54x = 8,012,547.87
  5. Step 5: Solve for x
    x = 8,012,547.87/3,349.54
  6. Step 6: Final answer
    x = 2,392.13

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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.