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Finding the Fourth Proportional to 4,024, 5,547.04 and 3,461.46

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Solution

The fourth proportional to 4,024, 5,547.04 and 3,461.46 is: 4,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024 : 5,547.04 = 3,461.46 : x
  2. Step 2: Convert to fraction form
    4,024/5,547.04 = 3,461.46/x
  3. Step 3: Cross multiply
    4,024x = 5,547.04 × 3,461.46
  4. Step 4: Simplify right side
    4,024x = 19,200,857.08
  5. Step 5: Solve for x
    x = 19,200,857.08/4,024
  6. Step 6: Final answer
    x = 4,771.58

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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.