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Finding the Fourth Proportional to 5,582.07, 7,702.97 and 3,814.11

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Solution

The fourth proportional to 5,582.07, 7,702.97 and 3,814.11 is: 5,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.07 : 7,702.97 = 3,814.11 : x
  2. Step 2: Convert to fraction form
    5,582.07/7,702.97 = 3,814.11/x
  3. Step 3: Cross multiply
    5,582.07x = 7,702.97 × 3,814.11
  4. Step 4: Simplify right side
    5,582.07x = 29,379,955.84
  5. Step 5: Solve for x
    x = 29,379,955.84/5,582.07
  6. Step 6: Final answer
    x = 5,263.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.