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Finding the Fourth Proportional to 5,658.16, 7,801.08 and 4,045

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Solution

The fourth proportional to 5,658.16, 7,801.08 and 4,045 is: 5,576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.16 : 7,801.08 = 4,045 : x
  2. Step 2: Convert to fraction form
    5,658.16/7,801.08 = 4,045/x
  3. Step 3: Cross multiply
    5,658.16x = 7,801.08 × 4,045
  4. Step 4: Simplify right side
    5,658.16x = 31,555,368.60
  5. Step 5: Solve for x
    x = 31,555,368.60/5,658.16
  6. Step 6: Final answer
    x = 5,576.97

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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.