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Finding the Fourth Proportional to 5,014, 7,521.06 and 1,315.96

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Solution

The fourth proportional to 5,014, 7,521.06 and 1,315.96 is: 1,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,014 : 7,521.06 = 1,315.96 : x
  2. Step 2: Convert to fraction form
    5,014/7,521.06 = 1,315.96/x
  3. Step 3: Cross multiply
    5,014x = 7,521.06 × 1,315.96
  4. Step 4: Simplify right side
    5,014x = 9,897,414.12
  5. Step 5: Solve for x
    x = 9,897,414.12/5,014
  6. Step 6: Final answer
    x = 1,973.96

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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.