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Finding the Fourth Proportional to 4,564.65, 6,297.73 and 2,547.73

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Solution

The fourth proportional to 4,564.65, 6,297.73 and 2,547.73 is: 3,515.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.65 : 6,297.73 = 2,547.73 : x
  2. Step 2: Convert to fraction form
    4,564.65/6,297.73 = 2,547.73/x
  3. Step 3: Cross multiply
    4,564.65x = 6,297.73 × 2,547.73
  4. Step 4: Simplify right side
    4,564.65x = 16,044,931.49
  5. Step 5: Solve for x
    x = 16,044,931.49/4,564.65
  6. Step 6: Final answer
    x = 3,515.04

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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.