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Finding the Fourth Proportional to 5,302.65, 7,954.02 and 1,407

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Solution

The fourth proportional to 5,302.65, 7,954.02 and 1,407 is: 2,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.65 : 7,954.02 = 1,407 : x
  2. Step 2: Convert to fraction form
    5,302.65/7,954.02 = 1,407/x
  3. Step 3: Cross multiply
    5,302.65x = 7,954.02 × 1,407
  4. Step 4: Simplify right side
    5,302.65x = 11,191,306.14
  5. Step 5: Solve for x
    x = 11,191,306.14/5,302.65
  6. Step 6: Final answer
    x = 2,110.51

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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.