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Finding the Fourth Proportional to 5,563.84, 7,678.04 and 3,045.93

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Solution

The fourth proportional to 5,563.84, 7,678.04 and 3,045.93 is: 4,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.84 : 7,678.04 = 3,045.93 : x
  2. Step 2: Convert to fraction form
    5,563.84/7,678.04 = 3,045.93/x
  3. Step 3: Cross multiply
    5,563.84x = 7,678.04 × 3,045.93
  4. Step 4: Simplify right side
    5,563.84x = 23,386,770.85
  5. Step 5: Solve for x
    x = 23,386,770.85/5,563.84
  6. Step 6: Final answer
    x = 4,203.35

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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.