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Finding the Fourth Proportional to 4,364.81, 6,543.49 and 1,897.75

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Solution

The fourth proportional to 4,364.81, 6,543.49 and 1,897.75 is: 2,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.81 : 6,543.49 = 1,897.75 : x
  2. Step 2: Convert to fraction form
    4,364.81/6,543.49 = 1,897.75/x
  3. Step 3: Cross multiply
    4,364.81x = 6,543.49 × 1,897.75
  4. Step 4: Simplify right side
    4,364.81x = 12,417,908.15
  5. Step 5: Solve for x
    x = 12,417,908.15/4,364.81
  6. Step 6: Final answer
    x = 2,845.01

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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.