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Finding the Fourth Proportional to 3,565.95, 5,349 and 1,225.93

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Solution

The fourth proportional to 3,565.95, 5,349 and 1,225.93 is: 1,838.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.95 : 5,349 = 1,225.93 : x
  2. Step 2: Convert to fraction form
    3,565.95/5,349 = 1,225.93/x
  3. Step 3: Cross multiply
    3,565.95x = 5,349 × 1,225.93
  4. Step 4: Simplify right side
    3,565.95x = 6,557,499.57
  5. Step 5: Solve for x
    x = 6,557,499.57/3,565.95
  6. Step 6: Final answer
    x = 1,838.92

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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.