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Finding the Fourth Proportional to 3,547.32, 4,895.74 and 2,035.44

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Solution

The fourth proportional to 3,547.32, 4,895.74 and 2,035.44 is: 2,809.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.32 : 4,895.74 = 2,035.44 : x
  2. Step 2: Convert to fraction form
    3,547.32/4,895.74 = 2,035.44/x
  3. Step 3: Cross multiply
    3,547.32x = 4,895.74 × 2,035.44
  4. Step 4: Simplify right side
    3,547.32x = 9,964,985.03
  5. Step 5: Solve for x
    x = 9,964,985.03/3,547.32
  6. Step 6: Final answer
    x = 2,809.16

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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.