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Finding the Fourth Proportional to 5,706.51, 8,547.65 and 3,725.13

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Solution

The fourth proportional to 5,706.51, 8,547.65 and 3,725.13 is: 5,579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.51 : 8,547.65 = 3,725.13 : x
  2. Step 2: Convert to fraction form
    5,706.51/8,547.65 = 3,725.13/x
  3. Step 3: Cross multiply
    5,706.51x = 8,547.65 × 3,725.13
  4. Step 4: Simplify right side
    5,706.51x = 31,841,134.84
  5. Step 5: Solve for x
    x = 31,841,134.84/5,706.51
  6. Step 6: Final answer
    x = 5,579.79

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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.