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Finding the Fourth Proportional to 3,547.02, 5,318.64 and 1,354.49

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Solution

The fourth proportional to 3,547.02, 5,318.64 and 1,354.49 is: 2,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.02 : 5,318.64 = 1,354.49 : x
  2. Step 2: Convert to fraction form
    3,547.02/5,318.64 = 1,354.49/x
  3. Step 3: Cross multiply
    3,547.02x = 5,318.64 × 1,354.49
  4. Step 4: Simplify right side
    3,547.02x = 7,204,018.10
  5. Step 5: Solve for x
    x = 7,204,018.10/3,547.02
  6. Step 6: Final answer
    x = 2,031.01

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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.