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Finding the Fourth Proportional to 4,364.94, 6,547.74 and 1,403.43

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Solution

The fourth proportional to 4,364.94, 6,547.74 and 1,403.43 is: 2,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.94 : 6,547.74 = 1,403.43 : x
  2. Step 2: Convert to fraction form
    4,364.94/6,547.74 = 1,403.43/x
  3. Step 3: Cross multiply
    4,364.94x = 6,547.74 × 1,403.43
  4. Step 4: Simplify right side
    4,364.94x = 9,189,294.75
  5. Step 5: Solve for x
    x = 9,189,294.75/4,364.94
  6. Step 6: Final answer
    x = 2,105.25

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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.