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Finding the Fourth Proportional to 4,547.50, 6,822.23 and 2,696.45

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Solution

The fourth proportional to 4,547.50, 6,822.23 and 2,696.45 is: 4,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.50 : 6,822.23 = 2,696.45 : x
  2. Step 2: Convert to fraction form
    4,547.50/6,822.23 = 2,696.45/x
  3. Step 3: Cross multiply
    4,547.50x = 6,822.23 × 2,696.45
  4. Step 4: Simplify right side
    4,547.50x = 18,395,754.49
  5. Step 5: Solve for x
    x = 18,395,754.49/4,547.50
  6. Step 6: Final answer
    x = 4,045.25

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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.