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Finding the Fourth Proportional to 5,700.21, 7,866.21 and 4,019.86

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Solution

The fourth proportional to 5,700.21, 7,866.21 and 4,019.86 is: 5,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.21 : 7,866.21 = 4,019.86 : x
  2. Step 2: Convert to fraction form
    5,700.21/7,866.21 = 4,019.86/x
  3. Step 3: Cross multiply
    5,700.21x = 7,866.21 × 4,019.86
  4. Step 4: Simplify right side
    5,700.21x = 31,621,062.93
  5. Step 5: Solve for x
    x = 31,621,062.93/5,700.21
  6. Step 6: Final answer
    x = 5,547.35

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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.