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Finding the Fourth Proportional to 4,274.52, 5,898.82 and 2,386.00

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Solution

The fourth proportional to 4,274.52, 5,898.82 and 2,386.00 is: 3,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.52 : 5,898.82 = 2,386.00 : x
  2. Step 2: Convert to fraction form
    4,274.52/5,898.82 = 2,386.00/x
  3. Step 3: Cross multiply
    4,274.52x = 5,898.82 × 2,386.00
  4. Step 4: Simplify right side
    4,274.52x = 14,074,543.10
  5. Step 5: Solve for x
    x = 14,074,543.10/4,274.52
  6. Step 6: Final answer
    x = 3,292.66

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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.