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Finding the Fourth Proportional to 5,148.94, 7,704.95 and 4,457.99

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Solution

The fourth proportional to 5,148.94, 7,704.95 and 4,457.99 is: 6,671.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.94 : 7,704.95 = 4,457.99 : x
  2. Step 2: Convert to fraction form
    5,148.94/7,704.95 = 4,457.99/x
  3. Step 3: Cross multiply
    5,148.94x = 7,704.95 × 4,457.99
  4. Step 4: Simplify right side
    5,148.94x = 34,348,529.24
  5. Step 5: Solve for x
    x = 34,348,529.24/5,148.94
  6. Step 6: Final answer
    x = 6,671.00

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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.