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Finding the Fourth Proportional to 3,521, 5,280.48 and 1,055.18

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Solution

The fourth proportional to 3,521, 5,280.48 and 1,055.18 is: 1,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521 : 5,280.48 = 1,055.18 : x
  2. Step 2: Convert to fraction form
    3,521/5,280.48 = 1,055.18/x
  3. Step 3: Cross multiply
    3,521x = 5,280.48 × 1,055.18
  4. Step 4: Simplify right side
    3,521x = 5,571,856.89
  5. Step 5: Solve for x
    x = 5,571,856.89/3,521
  6. Step 6: Final answer
    x = 1,582.46

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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.