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Finding the Fourth Proportional to 5,696.49, 7,854.26 and 4,420.74

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Solution

The fourth proportional to 5,696.49, 7,854.26 and 4,420.74 is: 6,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.49 : 7,854.26 = 4,420.74 : x
  2. Step 2: Convert to fraction form
    5,696.49/7,854.26 = 4,420.74/x
  3. Step 3: Cross multiply
    5,696.49x = 7,854.26 × 4,420.74
  4. Step 4: Simplify right side
    5,696.49x = 34,721,619.25
  5. Step 5: Solve for x
    x = 34,721,619.25/5,696.49
  6. Step 6: Final answer
    x = 6,095.27

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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.