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Finding the Fourth Proportional to 3,493.98, 5,242.77 and 1,547.55

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Solution

The fourth proportional to 3,493.98, 5,242.77 and 1,547.55 is: 2,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.98 : 5,242.77 = 1,547.55 : x
  2. Step 2: Convert to fraction form
    3,493.98/5,242.77 = 1,547.55/x
  3. Step 3: Cross multiply
    3,493.98x = 5,242.77 × 1,547.55
  4. Step 4: Simplify right side
    3,493.98x = 8,113,448.71
  5. Step 5: Solve for x
    x = 8,113,448.71/3,493.98
  6. Step 6: Final answer
    x = 2,322.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.