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Finding the Fourth Proportional to 5,684.41, 8,510.87 and 2,905.10

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Solution

The fourth proportional to 5,684.41, 8,510.87 and 2,905.10 is: 4,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.41 : 8,510.87 = 2,905.10 : x
  2. Step 2: Convert to fraction form
    5,684.41/8,510.87 = 2,905.10/x
  3. Step 3: Cross multiply
    5,684.41x = 8,510.87 × 2,905.10
  4. Step 4: Simplify right side
    5,684.41x = 24,724,925.06
  5. Step 5: Solve for x
    x = 24,724,925.06/5,684.41
  6. Step 6: Final answer
    x = 4,349.60

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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.