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Finding the Fourth Proportional to 4,643.48, 6,407.98 and 2,547.56

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Solution

The fourth proportional to 4,643.48, 6,407.98 and 2,547.56 is: 3,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.48 : 6,407.98 = 2,547.56 : x
  2. Step 2: Convert to fraction form
    4,643.48/6,407.98 = 2,547.56/x
  3. Step 3: Cross multiply
    4,643.48x = 6,407.98 × 2,547.56
  4. Step 4: Simplify right side
    4,643.48x = 16,324,713.53
  5. Step 5: Solve for x
    x = 16,324,713.53/4,643.48
  6. Step 6: Final answer
    x = 3,515.62

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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.