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Finding the Fourth Proportional to 4,646.50, 6,970.83 and 3,345.64

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Solution

The fourth proportional to 4,646.50, 6,970.83 and 3,345.64 is: 5,019.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.50 : 6,970.83 = 3,345.64 : x
  2. Step 2: Convert to fraction form
    4,646.50/6,970.83 = 3,345.64/x
  3. Step 3: Cross multiply
    4,646.50x = 6,970.83 × 3,345.64
  4. Step 4: Simplify right side
    4,646.50x = 23,321,887.68
  5. Step 5: Solve for x
    x = 23,321,887.68/4,646.50
  6. Step 6: Final answer
    x = 5,019.24

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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.