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Finding the Fourth Proportional to 4,547.10, 6,274.89 and 2,975.16

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Solution

The fourth proportional to 4,547.10, 6,274.89 and 2,975.16 is: 4,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.10 : 6,274.89 = 2,975.16 : x
  2. Step 2: Convert to fraction form
    4,547.10/6,274.89 = 2,975.16/x
  3. Step 3: Cross multiply
    4,547.10x = 6,274.89 × 2,975.16
  4. Step 4: Simplify right side
    4,547.10x = 18,668,801.73
  5. Step 5: Solve for x
    x = 18,668,801.73/4,547.10
  6. Step 6: Final answer
    x = 4,105.65

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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.