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Finding the Fourth Proportional to 3,528, 4,870.49 and 2,410.52

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Solution

The fourth proportional to 3,528, 4,870.49 and 2,410.52 is: 3,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528 : 4,870.49 = 2,410.52 : x
  2. Step 2: Convert to fraction form
    3,528/4,870.49 = 2,410.52/x
  3. Step 3: Cross multiply
    3,528x = 4,870.49 × 2,410.52
  4. Step 4: Simplify right side
    3,528x = 11,740,377.15
  5. Step 5: Solve for x
    x = 11,740,377.15/3,528
  6. Step 6: Final answer
    x = 3,327.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.