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Finding the Fourth Proportional to 5,114.65, 7,681.22 and 4,703.03

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Solution

The fourth proportional to 5,114.65, 7,681.22 and 4,703.03 is: 7,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.65 : 7,681.22 = 4,703.03 : x
  2. Step 2: Convert to fraction form
    5,114.65/7,681.22 = 4,703.03/x
  3. Step 3: Cross multiply
    5,114.65x = 7,681.22 × 4,703.03
  4. Step 4: Simplify right side
    5,114.65x = 36,124,984.58
  5. Step 5: Solve for x
    x = 36,124,984.58/5,114.65
  6. Step 6: Final answer
    x = 7,063.05

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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.