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Finding the Fourth Proportional to 5,315.63, 7,982.55 and 5,038.61

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Solution

The fourth proportional to 5,315.63, 7,982.55 and 5,038.61 is: 7,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.63 : 7,982.55 = 5,038.61 : x
  2. Step 2: Convert to fraction form
    5,315.63/7,982.55 = 5,038.61/x
  3. Step 3: Cross multiply
    5,315.63x = 7,982.55 × 5,038.61
  4. Step 4: Simplify right side
    5,315.63x = 40,220,916.34
  5. Step 5: Solve for x
    x = 40,220,916.34/5,315.63
  6. Step 6: Final answer
    x = 7,566.55

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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.