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Finding the Fourth Proportional to 5,124.74, 7,684.70 and 3,045.02

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Solution

The fourth proportional to 5,124.74, 7,684.70 and 3,045.02 is: 4,566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.74 : 7,684.70 = 3,045.02 : x
  2. Step 2: Convert to fraction form
    5,124.74/7,684.70 = 3,045.02/x
  3. Step 3: Cross multiply
    5,124.74x = 7,684.70 × 3,045.02
  4. Step 4: Simplify right side
    5,124.74x = 23,400,011.55
  5. Step 5: Solve for x
    x = 23,400,011.55/5,124.74
  6. Step 6: Final answer
    x = 4,566.09

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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.