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Finding the Fourth Proportional to 5,888.16, 8,123.58 and 3,648.60

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Solution

The fourth proportional to 5,888.16, 8,123.58 and 3,648.60 is: 5,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.16 : 8,123.58 = 3,648.60 : x
  2. Step 2: Convert to fraction form
    5,888.16/8,123.58 = 3,648.60/x
  3. Step 3: Cross multiply
    5,888.16x = 8,123.58 × 3,648.60
  4. Step 4: Simplify right side
    5,888.16x = 29,639,693.99
  5. Step 5: Solve for x
    x = 29,639,693.99/5,888.16
  6. Step 6: Final answer
    x = 5,033.78

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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.