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Finding the Fourth Proportional to 3,491.76, 5,225.07 and 2,565

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Solution

The fourth proportional to 3,491.76, 5,225.07 and 2,565 is: 3,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.76 : 5,225.07 = 2,565 : x
  2. Step 2: Convert to fraction form
    3,491.76/5,225.07 = 2,565/x
  3. Step 3: Cross multiply
    3,491.76x = 5,225.07 × 2,565
  4. Step 4: Simplify right side
    3,491.76x = 13,402,304.55
  5. Step 5: Solve for x
    x = 13,402,304.55/3,491.76
  6. Step 6: Final answer
    x = 3,838.27

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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.