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Finding the Fourth Proportional to 4,274.99, 5,897.90 and 2,505.95

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Solution

The fourth proportional to 4,274.99, 5,897.90 and 2,505.95 is: 3,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.99 : 5,897.90 = 2,505.95 : x
  2. Step 2: Convert to fraction form
    4,274.99/5,897.90 = 2,505.95/x
  3. Step 3: Cross multiply
    4,274.99x = 5,897.90 × 2,505.95
  4. Step 4: Simplify right side
    4,274.99x = 14,779,800.49
  5. Step 5: Solve for x
    x = 14,779,800.49/4,274.99
  6. Step 6: Final answer
    x = 3,457.28

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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.