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Finding the Fourth Proportional to 4,547.22, 6,820.81 and 1,170.01

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Solution

The fourth proportional to 4,547.22, 6,820.81 and 1,170.01 is: 1,755.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.22 : 6,820.81 = 1,170.01 : x
  2. Step 2: Convert to fraction form
    4,547.22/6,820.81 = 1,170.01/x
  3. Step 3: Cross multiply
    4,547.22x = 6,820.81 × 1,170.01
  4. Step 4: Simplify right side
    4,547.22x = 7,980,410.06
  5. Step 5: Solve for x
    x = 7,980,410.06/4,547.22
  6. Step 6: Final answer
    x = 1,755.01

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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.