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Finding the Fourth Proportional to 3,547.56, 4,894.38 and 2,288.52

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Solution

The fourth proportional to 3,547.56, 4,894.38 and 2,288.52 is: 3,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.56 : 4,894.38 = 2,288.52 : x
  2. Step 2: Convert to fraction form
    3,547.56/4,894.38 = 2,288.52/x
  3. Step 3: Cross multiply
    3,547.56x = 4,894.38 × 2,288.52
  4. Step 4: Simplify right side
    3,547.56x = 11,200,886.52
  5. Step 5: Solve for x
    x = 11,200,886.52/3,547.56
  6. Step 6: Final answer
    x = 3,157.35

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Why These Related Problems?

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