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Finding the Fourth Proportional to 5,696.48, 7,854.62 and 4,798.90

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Solution

The fourth proportional to 5,696.48, 7,854.62 and 4,798.90 is: 6,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.48 : 7,854.62 = 4,798.90 : x
  2. Step 2: Convert to fraction form
    5,696.48/7,854.62 = 4,798.90/x
  3. Step 3: Cross multiply
    5,696.48x = 7,854.62 × 4,798.90
  4. Step 4: Simplify right side
    5,696.48x = 37,693,504.55
  5. Step 5: Solve for x
    x = 37,693,504.55/5,696.48
  6. Step 6: Final answer
    x = 6,616.99

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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.