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Finding the Fourth Proportional to 5,302.68, 7,954.02 and 1,407.66

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Solution

The fourth proportional to 5,302.68, 7,954.02 and 1,407.66 is: 2,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.68 : 7,954.02 = 1,407.66 : x
  2. Step 2: Convert to fraction form
    5,302.68/7,954.02 = 1,407.66/x
  3. Step 3: Cross multiply
    5,302.68x = 7,954.02 × 1,407.66
  4. Step 4: Simplify right side
    5,302.68x = 11,196,555.79
  5. Step 5: Solve for x
    x = 11,196,555.79/5,302.68
  6. Step 6: Final answer
    x = 2,111.49

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Similar ratio
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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.