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Finding the Fourth Proportional to 3,492.98, 5,242.91 and 2,565.93

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Solution

The fourth proportional to 3,492.98, 5,242.91 and 2,565.93 is: 3,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.98 : 5,242.91 = 2,565.93 : x
  2. Step 2: Convert to fraction form
    3,492.98/5,242.91 = 2,565.93/x
  3. Step 3: Cross multiply
    3,492.98x = 5,242.91 × 2,565.93
  4. Step 4: Simplify right side
    3,492.98x = 13,452,940.06
  5. Step 5: Solve for x
    x = 13,452,940.06/3,492.98
  6. Step 6: Final answer
    x = 3,851.43

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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.