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Finding the Fourth Proportional to 5,222.40, 7,210.08 and 4,046.40

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Solution

The fourth proportional to 5,222.40, 7,210.08 and 4,046.40 is: 5,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.40 : 7,210.08 = 4,046.40 : x
  2. Step 2: Convert to fraction form
    5,222.40/7,210.08 = 4,046.40/x
  3. Step 3: Cross multiply
    5,222.40x = 7,210.08 × 4,046.40
  4. Step 4: Simplify right side
    5,222.40x = 29,174,867.71
  5. Step 5: Solve for x
    x = 29,174,867.71/5,222.40
  6. Step 6: Final answer
    x = 5,586.49

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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.