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Finding the Fourth Proportional to 5,812.96, 8,024.95 and 4,666.15

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Solution

The fourth proportional to 5,812.96, 8,024.95 and 4,666.15 is: 6,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.96 : 8,024.95 = 4,666.15 : x
  2. Step 2: Convert to fraction form
    5,812.96/8,024.95 = 4,666.15/x
  3. Step 3: Cross multiply
    5,812.96x = 8,024.95 × 4,666.15
  4. Step 4: Simplify right side
    5,812.96x = 37,445,618.81
  5. Step 5: Solve for x
    x = 37,445,618.81/5,812.96
  6. Step 6: Final answer
    x = 6,441.75

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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.