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Finding the Fourth Proportional to 4,199.14, 6,306.65 and 4,030.86

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Solution

The fourth proportional to 4,199.14, 6,306.65 and 4,030.86 is: 6,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.14 : 6,306.65 = 4,030.86 : x
  2. Step 2: Convert to fraction form
    4,199.14/6,306.65 = 4,030.86/x
  3. Step 3: Cross multiply
    4,199.14x = 6,306.65 × 4,030.86
  4. Step 4: Simplify right side
    4,199.14x = 25,421,223.22
  5. Step 5: Solve for x
    x = 25,421,223.22/4,199.14
  6. Step 6: Final answer
    x = 6,053.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.