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Finding the Fourth Proportional to 4,742.04, 6,547.10 and 4,243.83

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Solution

The fourth proportional to 4,742.04, 6,547.10 and 4,243.83 is: 5,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.04 : 6,547.10 = 4,243.83 : x
  2. Step 2: Convert to fraction form
    4,742.04/6,547.10 = 4,243.83/x
  3. Step 3: Cross multiply
    4,742.04x = 6,547.10 × 4,243.83
  4. Step 4: Simplify right side
    4,742.04x = 27,784,757.27
  5. Step 5: Solve for x
    x = 27,784,757.27/4,742.04
  6. Step 6: Final answer
    x = 5,859.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.