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Finding the Fourth Proportional to 5,948.50, 8,923.30 and 1,565.98

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Solution

The fourth proportional to 5,948.50, 8,923.30 and 1,565.98 is: 2,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.50 : 8,923.30 = 1,565.98 : x
  2. Step 2: Convert to fraction form
    5,948.50/8,923.30 = 1,565.98/x
  3. Step 3: Cross multiply
    5,948.50x = 8,923.30 × 1,565.98
  4. Step 4: Simplify right side
    5,948.50x = 13,973,709.33
  5. Step 5: Solve for x
    x = 13,973,709.33/5,948.50
  6. Step 6: Final answer
    x = 2,349.11

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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.