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Finding the Fourth Proportional to 5,547.42, 7,653.02 and 3,706.16

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Solution

The fourth proportional to 5,547.42, 7,653.02 and 3,706.16 is: 5,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.42 : 7,653.02 = 3,706.16 : x
  2. Step 2: Convert to fraction form
    5,547.42/7,653.02 = 3,706.16/x
  3. Step 3: Cross multiply
    5,547.42x = 7,653.02 × 3,706.16
  4. Step 4: Simplify right side
    5,547.42x = 28,363,259.81
  5. Step 5: Solve for x
    x = 28,363,259.81/5,547.42
  6. Step 6: Final answer
    x = 5,112.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.