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Finding the Fourth Proportional to 3,547.68, 5,297.34 and 3,175.08

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Solution

The fourth proportional to 3,547.68, 5,297.34 and 3,175.08 is: 4,740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.68 : 5,297.34 = 3,175.08 : x
  2. Step 2: Convert to fraction form
    3,547.68/5,297.34 = 3,175.08/x
  3. Step 3: Cross multiply
    3,547.68x = 5,297.34 × 3,175.08
  4. Step 4: Simplify right side
    3,547.68x = 16,819,478.29
  5. Step 5: Solve for x
    x = 16,819,478.29/3,547.68
  6. Step 6: Final answer
    x = 4,740.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.