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Finding the Fourth Proportional to 4,643.34, 6,407.73 and 2,547.42

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Solution

The fourth proportional to 4,643.34, 6,407.73 and 2,547.42 is: 3,515.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.34 : 6,407.73 = 2,547.42 : x
  2. Step 2: Convert to fraction form
    4,643.34/6,407.73 = 2,547.42/x
  3. Step 3: Cross multiply
    4,643.34x = 6,407.73 × 2,547.42
  4. Step 4: Simplify right side
    4,643.34x = 16,323,179.56
  5. Step 5: Solve for x
    x = 16,323,179.56/4,643.34
  6. Step 6: Final answer
    x = 3,515.40

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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.