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Finding the Fourth Proportional to 3,480, 5,218.08 and 1,530.24

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Solution

The fourth proportional to 3,480, 5,218.08 and 1,530.24 is: 2,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480 : 5,218.08 = 1,530.24 : x
  2. Step 2: Convert to fraction form
    3,480/5,218.08 = 1,530.24/x
  3. Step 3: Cross multiply
    3,480x = 5,218.08 × 1,530.24
  4. Step 4: Simplify right side
    3,480x = 7,984,914.74
  5. Step 5: Solve for x
    x = 7,984,914.74/3,480
  6. Step 6: Final answer
    x = 2,294.52

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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.