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Finding the Fourth Proportional to 3,728.04, 5,590.86 and 1,648.00

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Solution

The fourth proportional to 3,728.04, 5,590.86 and 1,648.00 is: 2,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.04 : 5,590.86 = 1,648.00 : x
  2. Step 2: Convert to fraction form
    3,728.04/5,590.86 = 1,648.00/x
  3. Step 3: Cross multiply
    3,728.04x = 5,590.86 × 1,648.00
  4. Step 4: Simplify right side
    3,728.04x = 9,213,715.91
  5. Step 5: Solve for x
    x = 9,213,715.91/3,728.04
  6. Step 6: Final answer
    x = 2,471.46

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1.5x scale

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.