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Finding the Fourth Proportional to 3,547.44, 4,895.10 and 2,366.46

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Solution

The fourth proportional to 3,547.44, 4,895.10 and 2,366.46 is: 3,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.44 : 4,895.10 = 2,366.46 : x
  2. Step 2: Convert to fraction form
    3,547.44/4,895.10 = 2,366.46/x
  3. Step 3: Cross multiply
    3,547.44x = 4,895.10 × 2,366.46
  4. Step 4: Simplify right side
    3,547.44x = 11,584,058.35
  5. Step 5: Solve for x
    x = 11,584,058.35/3,547.44
  6. Step 6: Final answer
    x = 3,265.47

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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.