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Finding the Fourth Proportional to 4,707.88, 7,062.42 and 1,421.08

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Solution

The fourth proportional to 4,707.88, 7,062.42 and 1,421.08 is: 2,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.88 : 7,062.42 = 1,421.08 : x
  2. Step 2: Convert to fraction form
    4,707.88/7,062.42 = 1,421.08/x
  3. Step 3: Cross multiply
    4,707.88x = 7,062.42 × 1,421.08
  4. Step 4: Simplify right side
    4,707.88x = 10,036,263.81
  5. Step 5: Solve for x
    x = 10,036,263.81/4,707.88
  6. Step 6: Final answer
    x = 2,131.80

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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.