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Finding the Fourth Proportional to 4,643.10, 6,407.19 and 2,547.21

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Solution

The fourth proportional to 4,643.10, 6,407.19 and 2,547.21 is: 3,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.10 : 6,407.19 = 2,547.21 : x
  2. Step 2: Convert to fraction form
    4,643.10/6,407.19 = 2,547.21/x
  3. Step 3: Cross multiply
    4,643.10x = 6,407.19 × 2,547.21
  4. Step 4: Simplify right side
    4,643.10x = 16,320,458.44
  5. Step 5: Solve for x
    x = 16,320,458.44/4,643.10
  6. Step 6: Final answer
    x = 3,514.99

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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.