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Finding the Fourth Proportional to 5,547.30, 7,656.56 and 3,659.22

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Solution

The fourth proportional to 5,547.30, 7,656.56 and 3,659.22 is: 5,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.30 : 7,656.56 = 3,659.22 : x
  2. Step 2: Convert to fraction form
    5,547.30/7,656.56 = 3,659.22/x
  3. Step 3: Cross multiply
    5,547.30x = 7,656.56 × 3,659.22
  4. Step 4: Simplify right side
    5,547.30x = 28,017,037.48
  5. Step 5: Solve for x
    x = 28,017,037.48/5,547.30
  6. Step 6: Final answer
    x = 5,050.57

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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.