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Finding the Fourth Proportional to 4,643.16, 6,407.86 and 2,547.28

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Solution

The fourth proportional to 4,643.16, 6,407.86 and 2,547.28 is: 3,515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.16 : 6,407.86 = 2,547.28 : x
  2. Step 2: Convert to fraction form
    4,643.16/6,407.86 = 2,547.28/x
  3. Step 3: Cross multiply
    4,643.16x = 6,407.86 × 2,547.28
  4. Step 4: Simplify right side
    4,643.16x = 16,322,613.62
  5. Step 5: Solve for x
    x = 16,322,613.62/4,643.16
  6. Step 6: Final answer
    x = 3,515.41

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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.