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Finding the Fourth Proportional to 5,547.67, 7,656.46 and 3,557.50

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Solution

The fourth proportional to 5,547.67, 7,656.46 and 3,557.50 is: 4,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.67 : 7,656.46 = 3,557.50 : x
  2. Step 2: Convert to fraction form
    5,547.67/7,656.46 = 3,557.50/x
  3. Step 3: Cross multiply
    5,547.67x = 7,656.46 × 3,557.50
  4. Step 4: Simplify right side
    5,547.67x = 27,237,828.42
  5. Step 5: Solve for x
    x = 27,237,828.42/5,547.67
  6. Step 6: Final answer
    x = 4,909.78

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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.