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Finding the Fourth Proportional to 5,113.65, 7,679.72 and 4,702.03

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Solution

The fourth proportional to 5,113.65, 7,679.72 and 4,702.03 is: 7,061.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.65 : 7,679.72 = 4,702.03 : x
  2. Step 2: Convert to fraction form
    5,113.65/7,679.72 = 4,702.03/x
  3. Step 3: Cross multiply
    5,113.65x = 7,679.72 × 4,702.03
  4. Step 4: Simplify right side
    5,113.65x = 36,110,250.32
  5. Step 5: Solve for x
    x = 36,110,250.32/5,113.65
  6. Step 6: Final answer
    x = 7,061.55

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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.