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Finding the Fourth Proportional to 5,063.84, 7,598.40 and 2,290

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Solution

The fourth proportional to 5,063.84, 7,598.40 and 2,290 is: 3,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.84 : 7,598.40 = 2,290 : x
  2. Step 2: Convert to fraction form
    5,063.84/7,598.40 = 2,290/x
  3. Step 3: Cross multiply
    5,063.84x = 7,598.40 × 2,290
  4. Step 4: Simplify right side
    5,063.84x = 17,400,336
  5. Step 5: Solve for x
    x = 17,400,336/5,063.84
  6. Step 6: Final answer
    x = 3,436.19

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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.