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Finding the Fourth Proportional to 5,547.60, 7,656.46 and 3,189.69

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Solution

The fourth proportional to 5,547.60, 7,656.46 and 3,189.69 is: 4,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.60 : 7,656.46 = 3,189.69 : x
  2. Step 2: Convert to fraction form
    5,547.60/7,656.46 = 3,189.69/x
  3. Step 3: Cross multiply
    5,547.60x = 7,656.46 × 3,189.69
  4. Step 4: Simplify right side
    5,547.60x = 24,421,733.90
  5. Step 5: Solve for x
    x = 24,421,733.90/5,547.60
  6. Step 6: Final answer
    x = 4,402.22

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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.