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Finding the Fourth Proportional to 2,725.94, 3,762.08 and 1,547.07

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Solution

The fourth proportional to 2,725.94, 3,762.08 and 1,547.07 is: 2,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.94 : 3,762.08 = 1,547.07 : x
  2. Step 2: Convert to fraction form
    2,725.94/3,762.08 = 1,547.07/x
  3. Step 3: Cross multiply
    2,725.94x = 3,762.08 × 1,547.07
  4. Step 4: Simplify right side
    2,725.94x = 5,820,193.37
  5. Step 5: Solve for x
    x = 5,820,193.37/2,725.94
  6. Step 6: Final answer
    x = 2,135.12

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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.