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Finding the Fourth Proportional to 3,547.54, 5,324.87 and 1,468.77

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Solution

The fourth proportional to 3,547.54, 5,324.87 and 1,468.77 is: 2,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.54 : 5,324.87 = 1,468.77 : x
  2. Step 2: Convert to fraction form
    3,547.54/5,324.87 = 1,468.77/x
  3. Step 3: Cross multiply
    3,547.54x = 5,324.87 × 1,468.77
  4. Step 4: Simplify right side
    3,547.54x = 7,821,009.31
  5. Step 5: Solve for x
    x = 7,821,009.31/3,547.54
  6. Step 6: Final answer
    x = 2,204.63

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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.