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Finding the Fourth Proportional to 3,718.32, 5,578.16 and 3,031.08

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Solution

The fourth proportional to 3,718.32, 5,578.16 and 3,031.08 is: 4,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.32 : 5,578.16 = 3,031.08 : x
  2. Step 2: Convert to fraction form
    3,718.32/5,578.16 = 3,031.08/x
  3. Step 3: Cross multiply
    3,718.32x = 5,578.16 × 3,031.08
  4. Step 4: Simplify right side
    3,718.32x = 16,907,834.06
  5. Step 5: Solve for x
    x = 16,907,834.06/3,718.32
  6. Step 6: Final answer
    x = 4,547.17

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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.