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Finding the Fourth Proportional to 4,700.40, 7,050.40 and 1,926.16

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Solution

The fourth proportional to 4,700.40, 7,050.40 and 1,926.16 is: 2,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.40 : 7,050.40 = 1,926.16 : x
  2. Step 2: Convert to fraction form
    4,700.40/7,050.40 = 1,926.16/x
  3. Step 3: Cross multiply
    4,700.40x = 7,050.40 × 1,926.16
  4. Step 4: Simplify right side
    4,700.40x = 13,580,198.46
  5. Step 5: Solve for x
    x = 13,580,198.46/4,700.40
  6. Step 6: Final answer
    x = 2,889.16

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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.