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Finding the Fourth Proportional to 3,547.59, 4,894.34 and 2,054.96

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Solution

The fourth proportional to 3,547.59, 4,894.34 and 2,054.96 is: 2,835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.59 : 4,894.34 = 2,054.96 : x
  2. Step 2: Convert to fraction form
    3,547.59/4,894.34 = 2,054.96/x
  3. Step 3: Cross multiply
    3,547.59x = 4,894.34 × 2,054.96
  4. Step 4: Simplify right side
    3,547.59x = 10,057,672.93
  5. Step 5: Solve for x
    x = 10,057,672.93/3,547.59
  6. Step 6: Final answer
    x = 2,835.07

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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.