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Finding the Fourth Proportional to 5,407.65, 7,463.90 and 3,051.15

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Solution

The fourth proportional to 5,407.65, 7,463.90 and 3,051.15 is: 4,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.65 : 7,463.90 = 3,051.15 : x
  2. Step 2: Convert to fraction form
    5,407.65/7,463.90 = 3,051.15/x
  3. Step 3: Cross multiply
    5,407.65x = 7,463.90 × 3,051.15
  4. Step 4: Simplify right side
    5,407.65x = 22,773,504.77
  5. Step 5: Solve for x
    x = 22,773,504.77/5,407.65
  6. Step 6: Final answer
    x = 4,211.35

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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.