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Finding the Fourth Proportional to 5,610, 8,417.64 and 2,146.32

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Solution

The fourth proportional to 5,610, 8,417.64 and 2,146.32 is: 3,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610 : 8,417.64 = 2,146.32 : x
  2. Step 2: Convert to fraction form
    5,610/8,417.64 = 2,146.32/x
  3. Step 3: Cross multiply
    5,610x = 8,417.64 × 2,146.32
  4. Step 4: Simplify right side
    5,610x = 18,066,949.08
  5. Step 5: Solve for x
    x = 18,066,949.08/5,610
  6. Step 6: Final answer
    x = 3,220.49

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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.