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Finding the Fourth Proportional to 4,547.52, 6,824.16 and 2,603.52

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Solution

The fourth proportional to 4,547.52, 6,824.16 and 2,603.52 is: 3,906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.52 : 6,824.16 = 2,603.52 : x
  2. Step 2: Convert to fraction form
    4,547.52/6,824.16 = 2,603.52/x
  3. Step 3: Cross multiply
    4,547.52x = 6,824.16 × 2,603.52
  4. Step 4: Simplify right side
    4,547.52x = 17,766,837.04
  5. Step 5: Solve for x
    x = 17,766,837.04/4,547.52
  6. Step 6: Final answer
    x = 3,906.93

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Why These Related Problems?

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