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Finding the Fourth Proportional to 5,547.02, 8,321.54 and 1,849.50

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Solution

The fourth proportional to 5,547.02, 8,321.54 and 1,849.50 is: 2,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.02 : 8,321.54 = 1,849.50 : x
  2. Step 2: Convert to fraction form
    5,547.02/8,321.54 = 1,849.50/x
  3. Step 3: Cross multiply
    5,547.02x = 8,321.54 × 1,849.50
  4. Step 4: Simplify right side
    5,547.02x = 15,390,678.98
  5. Step 5: Solve for x
    x = 15,390,678.98/5,547.02
  6. Step 6: Final answer
    x = 2,774.59

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