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Finding the Fourth Proportional to 3,675.69, 5,071.08 and 2,417.43

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Solution

The fourth proportional to 3,675.69, 5,071.08 and 2,417.43 is: 3,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.69 : 5,071.08 = 2,417.43 : x
  2. Step 2: Convert to fraction form
    3,675.69/5,071.08 = 2,417.43/x
  3. Step 3: Cross multiply
    3,675.69x = 5,071.08 × 2,417.43
  4. Step 4: Simplify right side
    3,675.69x = 12,258,980.92
  5. Step 5: Solve for x
    x = 12,258,980.92/3,675.69
  6. Step 6: Final answer
    x = 3,335.15

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1.5x scale

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.