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Finding the Fourth Proportional to 4,322.01, 6,481.42 and 1,547.93

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Solution

The fourth proportional to 4,322.01, 6,481.42 and 1,547.93 is: 2,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.01 : 6,481.42 = 1,547.93 : x
  2. Step 2: Convert to fraction form
    4,322.01/6,481.42 = 1,547.93/x
  3. Step 3: Cross multiply
    4,322.01x = 6,481.42 × 1,547.93
  4. Step 4: Simplify right side
    4,322.01x = 10,032,784.46
  5. Step 5: Solve for x
    x = 10,032,784.46/4,322.01
  6. Step 6: Final answer
    x = 2,321.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.